SlideShare a Scribd company logo
1 of 9
Welcome to my
presentation
MD ABDUL HALIM
Lecturer
Department of Software Engineering
1
Name:
Maksudur Rahman Maruf
ID:152-35-1167
Topic:
APPLICATION OF
INTEGRATION
3
What is integration: 5
An integral where the limits are specified is called a
definite integral.
The integral is said to be over the interval [a, b].
the integral is called an indefinite integral
Techniques of integration
 As we have seen Integration is more challenging than
differentiation.
 If finding the derivative of a function it is obvious
which differentiation formula we should apply.
 However it may not be obvious which technique we
should use to integrate a given function.
6
When do we use it
 Trigonometric substitution is used when you have
problems involving square roots with two terms under
the radical.
 you will make one of the substitutions below
depending on what's inside your radical.
7
Basic integration formula
8
9
some real-life applications of integration
Alternative approach to quantum mechanics. Can be
particularly useful for study of quantum chaos, I
believe.
High energy/particle physics. Quantum
electrodynamics, chromo dynamics, Standard Model etc.
 Condensed matter field theories (phonon-electron
interactions in crystals, e.g.)
10

More Related Content

What's hot

Hierarchical clustering
Hierarchical clustering Hierarchical clustering
Hierarchical clustering Ashek Farabi
 
Combining text and pattern preprocessing in an adaptive dna pattern matcher
Combining text and pattern preprocessing in an adaptive dna pattern matcherCombining text and pattern preprocessing in an adaptive dna pattern matcher
Combining text and pattern preprocessing in an adaptive dna pattern matcherIAEME Publication
 
Energy efficient cooperative transmission for simultaneous wireless informati...
Energy efficient cooperative transmission for simultaneous wireless informati...Energy efficient cooperative transmission for simultaneous wireless informati...
Energy efficient cooperative transmission for simultaneous wireless informati...LogicMindtech Nologies
 
A h k clustering algorithm for high dimensional data using ensemble learning
A h k clustering algorithm for high dimensional data using ensemble learningA h k clustering algorithm for high dimensional data using ensemble learning
A h k clustering algorithm for high dimensional data using ensemble learningijitcs
 
Introduction to artificial intelligence technique
Introduction to artificial intelligence technique Introduction to artificial intelligence technique
Introduction to artificial intelligence technique Aishwarya Phalke
 
Selection K in K-means Clustering
Selection K in K-means ClusteringSelection K in K-means Clustering
Selection K in K-means ClusteringJunghoon Kim
 
EXPERIMENTS ON HYPOTHESIS "FUZZY K-MEANS IS BETTER THAN K-MEANS FOR CLUSTERING"
EXPERIMENTS ON HYPOTHESIS "FUZZY K-MEANS IS BETTER THAN K-MEANS FOR CLUSTERING"EXPERIMENTS ON HYPOTHESIS "FUZZY K-MEANS IS BETTER THAN K-MEANS FOR CLUSTERING"
EXPERIMENTS ON HYPOTHESIS "FUZZY K-MEANS IS BETTER THAN K-MEANS FOR CLUSTERING"IJDKP
 
Data clustering using kernel based
Data clustering using kernel basedData clustering using kernel based
Data clustering using kernel basedIJITCA Journal
 
A COMPREHENSIVE ANALYSIS OF QUANTUM CLUSTERING : FINDING ALL THE POTENTIAL MI...
A COMPREHENSIVE ANALYSIS OF QUANTUM CLUSTERING : FINDING ALL THE POTENTIAL MI...A COMPREHENSIVE ANALYSIS OF QUANTUM CLUSTERING : FINDING ALL THE POTENTIAL MI...
A COMPREHENSIVE ANALYSIS OF QUANTUM CLUSTERING : FINDING ALL THE POTENTIAL MI...IJDKP
 
Hierarchical clustering
Hierarchical clusteringHierarchical clustering
Hierarchical clusteringChakrit Phain
 

What's hot (14)

35
3535
35
 
Grid theory
Grid theoryGrid theory
Grid theory
 
Hierarchical clustering
Hierarchical clustering Hierarchical clustering
Hierarchical clustering
 
Combining text and pattern preprocessing in an adaptive dna pattern matcher
Combining text and pattern preprocessing in an adaptive dna pattern matcherCombining text and pattern preprocessing in an adaptive dna pattern matcher
Combining text and pattern preprocessing in an adaptive dna pattern matcher
 
Energy efficient cooperative transmission for simultaneous wireless informati...
Energy efficient cooperative transmission for simultaneous wireless informati...Energy efficient cooperative transmission for simultaneous wireless informati...
Energy efficient cooperative transmission for simultaneous wireless informati...
 
P1121340294
P1121340294P1121340294
P1121340294
 
A h k clustering algorithm for high dimensional data using ensemble learning
A h k clustering algorithm for high dimensional data using ensemble learningA h k clustering algorithm for high dimensional data using ensemble learning
A h k clustering algorithm for high dimensional data using ensemble learning
 
Introduction to artificial intelligence technique
Introduction to artificial intelligence technique Introduction to artificial intelligence technique
Introduction to artificial intelligence technique
 
Selection K in K-means Clustering
Selection K in K-means ClusteringSelection K in K-means Clustering
Selection K in K-means Clustering
 
EXPERIMENTS ON HYPOTHESIS "FUZZY K-MEANS IS BETTER THAN K-MEANS FOR CLUSTERING"
EXPERIMENTS ON HYPOTHESIS "FUZZY K-MEANS IS BETTER THAN K-MEANS FOR CLUSTERING"EXPERIMENTS ON HYPOTHESIS "FUZZY K-MEANS IS BETTER THAN K-MEANS FOR CLUSTERING"
EXPERIMENTS ON HYPOTHESIS "FUZZY K-MEANS IS BETTER THAN K-MEANS FOR CLUSTERING"
 
Data clustering using kernel based
Data clustering using kernel basedData clustering using kernel based
Data clustering using kernel based
 
A COMPREHENSIVE ANALYSIS OF QUANTUM CLUSTERING : FINDING ALL THE POTENTIAL MI...
A COMPREHENSIVE ANALYSIS OF QUANTUM CLUSTERING : FINDING ALL THE POTENTIAL MI...A COMPREHENSIVE ANALYSIS OF QUANTUM CLUSTERING : FINDING ALL THE POTENTIAL MI...
A COMPREHENSIVE ANALYSIS OF QUANTUM CLUSTERING : FINDING ALL THE POTENTIAL MI...
 
Hierarchical clustering
Hierarchical clusteringHierarchical clustering
Hierarchical clustering
 
Unsupervised Learning
Unsupervised LearningUnsupervised Learning
Unsupervised Learning
 

Similar to integration

computationalchemistry_12-6.ppt
computationalchemistry_12-6.pptcomputationalchemistry_12-6.ppt
computationalchemistry_12-6.pptsami97008
 
Characterization of the Scattering Properties of a Spherical Silver Nanoparti...
Characterization of the Scattering Properties of a Spherical Silver Nanoparti...Characterization of the Scattering Properties of a Spherical Silver Nanoparti...
Characterization of the Scattering Properties of a Spherical Silver Nanoparti...AI Publications
 
Multiobjective Firefly Algorithm for Continuous Optimization
Multiobjective Firefly Algorithm for Continuous Optimization Multiobjective Firefly Algorithm for Continuous Optimization
Multiobjective Firefly Algorithm for Continuous Optimization Xin-She Yang
 
Implementing a neural network potential for exascale molecular dynamics
Implementing a neural network potential for exascale molecular dynamicsImplementing a neural network potential for exascale molecular dynamics
Implementing a neural network potential for exascale molecular dynamicsPFHub PFHub
 
Trust Region Algorithm - Bachelor Dissertation
Trust Region Algorithm - Bachelor DissertationTrust Region Algorithm - Bachelor Dissertation
Trust Region Algorithm - Bachelor DissertationChristian Adom
 
Course amplificadores I
Course amplificadores ICourse amplificadores I
Course amplificadores Ijaroldane
 
Malcolm Jardine Internship Poster - 2016-2
Malcolm Jardine Internship Poster - 2016-2Malcolm Jardine Internship Poster - 2016-2
Malcolm Jardine Internship Poster - 2016-2Malcolm Jardine
 
Cfd aero
Cfd aeroCfd aero
Cfd aerofdamec
 
Molecular Simulation to build models for enzyme induced fit
Molecular Simulation to build models for enzyme induced fit Molecular Simulation to build models for enzyme induced fit
Molecular Simulation to build models for enzyme induced fit MinSung Kim
 
Overview combining ab initio with continuum theory
Overview combining ab initio with continuum theoryOverview combining ab initio with continuum theory
Overview combining ab initio with continuum theoryDierk Raabe
 
Molecular dynamics and namd simulation
Molecular dynamics and namd simulationMolecular dynamics and namd simulation
Molecular dynamics and namd simulationShoaibKhan488
 
A Study of Firefly Algorithm and its Application in Non-Linear Dynamic Systems
A Study of Firefly Algorithm and its Application in Non-Linear Dynamic SystemsA Study of Firefly Algorithm and its Application in Non-Linear Dynamic Systems
A Study of Firefly Algorithm and its Application in Non-Linear Dynamic Systemsijtsrd
 
molecular mechanics and quantum mechnics
molecular mechanics and quantum mechnicsmolecular mechanics and quantum mechnics
molecular mechanics and quantum mechnicsRAKESH JAGTAP
 

Similar to integration (20)

Nonlinear Controller for the Laser Fiber Using PID Controller
Nonlinear Controller for the Laser Fiber Using PID ControllerNonlinear Controller for the Laser Fiber Using PID Controller
Nonlinear Controller for the Laser Fiber Using PID Controller
 
paper
paperpaper
paper
 
computationalchemistry_12-6.ppt
computationalchemistry_12-6.pptcomputationalchemistry_12-6.ppt
computationalchemistry_12-6.ppt
 
Molecular mechanics and dynamics
Molecular mechanics and dynamicsMolecular mechanics and dynamics
Molecular mechanics and dynamics
 
2041_2
2041_22041_2
2041_2
 
Characterization of the Scattering Properties of a Spherical Silver Nanoparti...
Characterization of the Scattering Properties of a Spherical Silver Nanoparti...Characterization of the Scattering Properties of a Spherical Silver Nanoparti...
Characterization of the Scattering Properties of a Spherical Silver Nanoparti...
 
Applications of Computational Quantum Chemistry
Applications of Computational Quantum ChemistryApplications of Computational Quantum Chemistry
Applications of Computational Quantum Chemistry
 
Multiobjective Firefly Algorithm for Continuous Optimization
Multiobjective Firefly Algorithm for Continuous Optimization Multiobjective Firefly Algorithm for Continuous Optimization
Multiobjective Firefly Algorithm for Continuous Optimization
 
Implementing a neural network potential for exascale molecular dynamics
Implementing a neural network potential for exascale molecular dynamicsImplementing a neural network potential for exascale molecular dynamics
Implementing a neural network potential for exascale molecular dynamics
 
Trust Region Algorithm - Bachelor Dissertation
Trust Region Algorithm - Bachelor DissertationTrust Region Algorithm - Bachelor Dissertation
Trust Region Algorithm - Bachelor Dissertation
 
Course amplificadores I
Course amplificadores ICourse amplificadores I
Course amplificadores I
 
Malcolm Jardine Internship Poster - 2016-2
Malcolm Jardine Internship Poster - 2016-2Malcolm Jardine Internship Poster - 2016-2
Malcolm Jardine Internship Poster - 2016-2
 
Cfd aero
Cfd aeroCfd aero
Cfd aero
 
Molecular Simulation to build models for enzyme induced fit
Molecular Simulation to build models for enzyme induced fit Molecular Simulation to build models for enzyme induced fit
Molecular Simulation to build models for enzyme induced fit
 
Overview combining ab initio with continuum theory
Overview combining ab initio with continuum theoryOverview combining ab initio with continuum theory
Overview combining ab initio with continuum theory
 
Molecular dynamics and namd simulation
Molecular dynamics and namd simulationMolecular dynamics and namd simulation
Molecular dynamics and namd simulation
 
N03430990106
N03430990106N03430990106
N03430990106
 
A Study of Firefly Algorithm and its Application in Non-Linear Dynamic Systems
A Study of Firefly Algorithm and its Application in Non-Linear Dynamic SystemsA Study of Firefly Algorithm and its Application in Non-Linear Dynamic Systems
A Study of Firefly Algorithm and its Application in Non-Linear Dynamic Systems
 
molecular mechanics and quantum mechnics
molecular mechanics and quantum mechnicsmolecular mechanics and quantum mechnics
molecular mechanics and quantum mechnics
 
I045075155
I045075155I045075155
I045075155
 

Recently uploaded

On National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan FellowsOn National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan FellowsMebane Rash
 
Unit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptxUnit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptxVishalSingh1417
 
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...christianmathematics
 
The basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptxThe basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptxheathfieldcps1
 
psychiatric nursing HISTORY COLLECTION .docx
psychiatric  nursing HISTORY  COLLECTION  .docxpsychiatric  nursing HISTORY  COLLECTION  .docx
psychiatric nursing HISTORY COLLECTION .docxPoojaSen20
 
Unit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptxUnit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptxVishalSingh1417
 
Unit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxUnit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxVishalSingh1417
 
Role Of Transgenic Animal In Target Validation-1.pptx
Role Of Transgenic Animal In Target Validation-1.pptxRole Of Transgenic Animal In Target Validation-1.pptx
Role Of Transgenic Animal In Target Validation-1.pptxNikitaBankoti2
 
Python Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docxPython Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docxRamakrishna Reddy Bijjam
 
ComPTIA Overview | Comptia Security+ Book SY0-701
ComPTIA Overview | Comptia Security+ Book SY0-701ComPTIA Overview | Comptia Security+ Book SY0-701
ComPTIA Overview | Comptia Security+ Book SY0-701bronxfugly43
 
PROCESS RECORDING FORMAT.docx
PROCESS      RECORDING        FORMAT.docxPROCESS      RECORDING        FORMAT.docx
PROCESS RECORDING FORMAT.docxPoojaSen20
 
How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17Celine George
 
Key note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdfKey note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdfAdmir Softic
 
Application orientated numerical on hev.ppt
Application orientated numerical on hev.pptApplication orientated numerical on hev.ppt
Application orientated numerical on hev.pptRamjanShidvankar
 
Measures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SDMeasures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SDThiyagu K
 
Measures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeMeasures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeThiyagu K
 
microwave assisted reaction. General introduction
microwave assisted reaction. General introductionmicrowave assisted reaction. General introduction
microwave assisted reaction. General introductionMaksud Ahmed
 
1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi  6.pdf1029-Danh muc Sach Giao Khoa khoi  6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdfQucHHunhnh
 

Recently uploaded (20)

Asian American Pacific Islander Month DDSD 2024.pptx
Asian American Pacific Islander Month DDSD 2024.pptxAsian American Pacific Islander Month DDSD 2024.pptx
Asian American Pacific Islander Month DDSD 2024.pptx
 
On National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan FellowsOn National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan Fellows
 
Unit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptxUnit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptx
 
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
 
The basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptxThe basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptx
 
psychiatric nursing HISTORY COLLECTION .docx
psychiatric  nursing HISTORY  COLLECTION  .docxpsychiatric  nursing HISTORY  COLLECTION  .docx
psychiatric nursing HISTORY COLLECTION .docx
 
Unit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptxUnit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptx
 
Unit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxUnit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptx
 
Role Of Transgenic Animal In Target Validation-1.pptx
Role Of Transgenic Animal In Target Validation-1.pptxRole Of Transgenic Animal In Target Validation-1.pptx
Role Of Transgenic Animal In Target Validation-1.pptx
 
Python Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docxPython Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docx
 
ComPTIA Overview | Comptia Security+ Book SY0-701
ComPTIA Overview | Comptia Security+ Book SY0-701ComPTIA Overview | Comptia Security+ Book SY0-701
ComPTIA Overview | Comptia Security+ Book SY0-701
 
PROCESS RECORDING FORMAT.docx
PROCESS      RECORDING        FORMAT.docxPROCESS      RECORDING        FORMAT.docx
PROCESS RECORDING FORMAT.docx
 
Mehran University Newsletter Vol-X, Issue-I, 2024
Mehran University Newsletter Vol-X, Issue-I, 2024Mehran University Newsletter Vol-X, Issue-I, 2024
Mehran University Newsletter Vol-X, Issue-I, 2024
 
How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17
 
Key note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdfKey note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdf
 
Application orientated numerical on hev.ppt
Application orientated numerical on hev.pptApplication orientated numerical on hev.ppt
Application orientated numerical on hev.ppt
 
Measures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SDMeasures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SD
 
Measures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeMeasures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and Mode
 
microwave assisted reaction. General introduction
microwave assisted reaction. General introductionmicrowave assisted reaction. General introduction
microwave assisted reaction. General introduction
 
1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi  6.pdf1029-Danh muc Sach Giao Khoa khoi  6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdf
 

integration

  • 1. Welcome to my presentation MD ABDUL HALIM Lecturer Department of Software Engineering 1
  • 4. What is integration: 5 An integral where the limits are specified is called a definite integral. The integral is said to be over the interval [a, b]. the integral is called an indefinite integral
  • 5. Techniques of integration  As we have seen Integration is more challenging than differentiation.  If finding the derivative of a function it is obvious which differentiation formula we should apply.  However it may not be obvious which technique we should use to integrate a given function. 6
  • 6. When do we use it  Trigonometric substitution is used when you have problems involving square roots with two terms under the radical.  you will make one of the substitutions below depending on what's inside your radical. 7
  • 8. 9 some real-life applications of integration Alternative approach to quantum mechanics. Can be particularly useful for study of quantum chaos, I believe. High energy/particle physics. Quantum electrodynamics, chromo dynamics, Standard Model etc.  Condensed matter field theories (phonon-electron interactions in crystals, e.g.)
  • 9. 10