SlideShare a Scribd company logo
1 of 31
NUMERICAL INTEGRATION
Welcome to Our Presentation
Our PresentationTopic:
Group Member
• Faysal Islam 172-33-3997
• Anas Rahman 172-33-4001
• Sagor Molla 172-33-4223
• Khondakar Towhiduzzaman 172-33-3969
• Ramjanul Islam 172-33-3974
• Faim Foysal 172-33-4074
• Julfiker hayder 172-33-3968
•
NUMERICAL INTEGRATION
•
• Integral Calculus - is the branch of calculus which
deals with functions to be integrated.
•
• Integration is the reverse process of differentiation.
The function to be integrated is referred to as
integrand while the result of an integration is called
integral.
•
•
NUMERICAL INTEGRATION
The Integral symbol is an elongated S - denoting sum, was introduced by
Leibniz, who named integral calculus as calculus summatorious.
TYPES
1. Definite Integral – defined by the limit values a & b of the
independent variable.
2. Indefinite/Primitive Integral – an integral with no restrictions
imposed on its independent variable.
•
NUMERICAL INTEGRATION
DEFINITE INTEGRAL INDEFINITE INTEGRAL
NUMERICAL INTEGRATION
USES:
1. How to find the Area
2. How to locate the Centroid
3. How to find the Arc Length of a Graph
4. How to find the Surface Area of a Solid
5. How to find the Volume of a Solid Figure
6. How to Solve for the Work Done
7. How to Solve the Moment of Inertia
•
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
•
•
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
●
Describe customer needs and wishes
●
Explain the requirements
NUMERICAL INTEGRATION
●
Describe the main attributes of the product
●
Link the product attributes to customer needs
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
●
Summarize the special features and advantages of the product being
introduced
NUMERICAL INTEGRATION
●
Explain the steps that now need to be taken
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
NUMERICAL INTEGRATION
•Numerical methods is not an
elegant subject. It is a lot of
technical detail and dirty work. But
it is the way we solve most of the
real world problems.
•
•ThankYou!!! :)
•
•Any Questions??? :)

More Related Content

Recently uploaded

History of Indian Railways - the story of Growth & Modernization
History of Indian Railways - the story of Growth & ModernizationHistory of Indian Railways - the story of Growth & Modernization
History of Indian Railways - the story of Growth & ModernizationEmaan Sharma
 
Fuzzy logic method-based stress detector with blood pressure and body tempera...
Fuzzy logic method-based stress detector with blood pressure and body tempera...Fuzzy logic method-based stress detector with blood pressure and body tempera...
Fuzzy logic method-based stress detector with blood pressure and body tempera...IJECEIAES
 
Autodesk Construction Cloud (Autodesk Build).pptx
Autodesk Construction Cloud (Autodesk Build).pptxAutodesk Construction Cloud (Autodesk Build).pptx
Autodesk Construction Cloud (Autodesk Build).pptxMustafa Ahmed
 
CLOUD COMPUTING SERVICES - Cloud Reference Modal
CLOUD COMPUTING SERVICES - Cloud Reference ModalCLOUD COMPUTING SERVICES - Cloud Reference Modal
CLOUD COMPUTING SERVICES - Cloud Reference ModalSwarnaSLcse
 
Artificial intelligence presentation2-171219131633.pdf
Artificial intelligence presentation2-171219131633.pdfArtificial intelligence presentation2-171219131633.pdf
Artificial intelligence presentation2-171219131633.pdfKira Dess
 
Presentation on Slab, Beam, Column, and Foundation/Footing
Presentation on Slab,  Beam, Column, and Foundation/FootingPresentation on Slab,  Beam, Column, and Foundation/Footing
Presentation on Slab, Beam, Column, and Foundation/FootingEr. Suman Jyoti
 
一比一原版(Griffith毕业证书)格里菲斯大学毕业证成绩单学位证书
一比一原版(Griffith毕业证书)格里菲斯大学毕业证成绩单学位证书一比一原版(Griffith毕业证书)格里菲斯大学毕业证成绩单学位证书
一比一原版(Griffith毕业证书)格里菲斯大学毕业证成绩单学位证书c3384a92eb32
 
litvinenko_Henry_Intrusion_Hong-Kong_2024.pdf
litvinenko_Henry_Intrusion_Hong-Kong_2024.pdflitvinenko_Henry_Intrusion_Hong-Kong_2024.pdf
litvinenko_Henry_Intrusion_Hong-Kong_2024.pdfAlexander Litvinenko
 
Adsorption (mass transfer operations 2) ppt
Adsorption (mass transfer operations 2) pptAdsorption (mass transfer operations 2) ppt
Adsorption (mass transfer operations 2) pptjigup7320
 
Instruct Nirmaana 24-Smart and Lean Construction Through Technology.pdf
Instruct Nirmaana 24-Smart and Lean Construction Through Technology.pdfInstruct Nirmaana 24-Smart and Lean Construction Through Technology.pdf
Instruct Nirmaana 24-Smart and Lean Construction Through Technology.pdfEr.Sonali Nasikkar
 
Involute of a circle,Square, pentagon,HexagonInvolute_Engineering Drawing.pdf
Involute of a circle,Square, pentagon,HexagonInvolute_Engineering Drawing.pdfInvolute of a circle,Square, pentagon,HexagonInvolute_Engineering Drawing.pdf
Involute of a circle,Square, pentagon,HexagonInvolute_Engineering Drawing.pdfJNTUA
 
Maximizing Incident Investigation Efficacy in Oil & Gas: Techniques and Tools
Maximizing Incident Investigation Efficacy in Oil & Gas: Techniques and ToolsMaximizing Incident Investigation Efficacy in Oil & Gas: Techniques and Tools
Maximizing Incident Investigation Efficacy in Oil & Gas: Techniques and Toolssoginsider
 
Circuit Breakers for Engineering Students
Circuit Breakers for Engineering StudentsCircuit Breakers for Engineering Students
Circuit Breakers for Engineering Studentskannan348865
 
Max. shear stress theory-Maximum Shear Stress Theory ​ Maximum Distortional ...
Max. shear stress theory-Maximum Shear Stress Theory ​  Maximum Distortional ...Max. shear stress theory-Maximum Shear Stress Theory ​  Maximum Distortional ...
Max. shear stress theory-Maximum Shear Stress Theory ​ Maximum Distortional ...ronahami
 
Path loss model, OKUMURA Model, Hata Model
Path loss model, OKUMURA Model, Hata ModelPath loss model, OKUMURA Model, Hata Model
Path loss model, OKUMURA Model, Hata ModelDrAjayKumarYadav4
 
What is Coordinate Measuring Machine? CMM Types, Features, Functions
What is Coordinate Measuring Machine? CMM Types, Features, FunctionsWhat is Coordinate Measuring Machine? CMM Types, Features, Functions
What is Coordinate Measuring Machine? CMM Types, Features, FunctionsVIEW
 
NEWLETTER FRANCE HELICES/ SDS SURFACE DRIVES - MAY 2024
NEWLETTER FRANCE HELICES/ SDS SURFACE DRIVES - MAY 2024NEWLETTER FRANCE HELICES/ SDS SURFACE DRIVES - MAY 2024
NEWLETTER FRANCE HELICES/ SDS SURFACE DRIVES - MAY 2024EMMANUELLEFRANCEHELI
 
Working Principle of Echo Sounder and Doppler Effect.pdf
Working Principle of Echo Sounder and Doppler Effect.pdfWorking Principle of Echo Sounder and Doppler Effect.pdf
Working Principle of Echo Sounder and Doppler Effect.pdfSkNahidulIslamShrabo
 
DBMS-Report on Student management system.pptx
DBMS-Report on Student management system.pptxDBMS-Report on Student management system.pptx
DBMS-Report on Student management system.pptxrajjais1221
 

Recently uploaded (20)

History of Indian Railways - the story of Growth & Modernization
History of Indian Railways - the story of Growth & ModernizationHistory of Indian Railways - the story of Growth & Modernization
History of Indian Railways - the story of Growth & Modernization
 
Signal Processing and Linear System Analysis
Signal Processing and Linear System AnalysisSignal Processing and Linear System Analysis
Signal Processing and Linear System Analysis
 
Fuzzy logic method-based stress detector with blood pressure and body tempera...
Fuzzy logic method-based stress detector with blood pressure and body tempera...Fuzzy logic method-based stress detector with blood pressure and body tempera...
Fuzzy logic method-based stress detector with blood pressure and body tempera...
 
Autodesk Construction Cloud (Autodesk Build).pptx
Autodesk Construction Cloud (Autodesk Build).pptxAutodesk Construction Cloud (Autodesk Build).pptx
Autodesk Construction Cloud (Autodesk Build).pptx
 
CLOUD COMPUTING SERVICES - Cloud Reference Modal
CLOUD COMPUTING SERVICES - Cloud Reference ModalCLOUD COMPUTING SERVICES - Cloud Reference Modal
CLOUD COMPUTING SERVICES - Cloud Reference Modal
 
Artificial intelligence presentation2-171219131633.pdf
Artificial intelligence presentation2-171219131633.pdfArtificial intelligence presentation2-171219131633.pdf
Artificial intelligence presentation2-171219131633.pdf
 
Presentation on Slab, Beam, Column, and Foundation/Footing
Presentation on Slab,  Beam, Column, and Foundation/FootingPresentation on Slab,  Beam, Column, and Foundation/Footing
Presentation on Slab, Beam, Column, and Foundation/Footing
 
一比一原版(Griffith毕业证书)格里菲斯大学毕业证成绩单学位证书
一比一原版(Griffith毕业证书)格里菲斯大学毕业证成绩单学位证书一比一原版(Griffith毕业证书)格里菲斯大学毕业证成绩单学位证书
一比一原版(Griffith毕业证书)格里菲斯大学毕业证成绩单学位证书
 
litvinenko_Henry_Intrusion_Hong-Kong_2024.pdf
litvinenko_Henry_Intrusion_Hong-Kong_2024.pdflitvinenko_Henry_Intrusion_Hong-Kong_2024.pdf
litvinenko_Henry_Intrusion_Hong-Kong_2024.pdf
 
Adsorption (mass transfer operations 2) ppt
Adsorption (mass transfer operations 2) pptAdsorption (mass transfer operations 2) ppt
Adsorption (mass transfer operations 2) ppt
 
Instruct Nirmaana 24-Smart and Lean Construction Through Technology.pdf
Instruct Nirmaana 24-Smart and Lean Construction Through Technology.pdfInstruct Nirmaana 24-Smart and Lean Construction Through Technology.pdf
Instruct Nirmaana 24-Smart and Lean Construction Through Technology.pdf
 
Involute of a circle,Square, pentagon,HexagonInvolute_Engineering Drawing.pdf
Involute of a circle,Square, pentagon,HexagonInvolute_Engineering Drawing.pdfInvolute of a circle,Square, pentagon,HexagonInvolute_Engineering Drawing.pdf
Involute of a circle,Square, pentagon,HexagonInvolute_Engineering Drawing.pdf
 
Maximizing Incident Investigation Efficacy in Oil & Gas: Techniques and Tools
Maximizing Incident Investigation Efficacy in Oil & Gas: Techniques and ToolsMaximizing Incident Investigation Efficacy in Oil & Gas: Techniques and Tools
Maximizing Incident Investigation Efficacy in Oil & Gas: Techniques and Tools
 
Circuit Breakers for Engineering Students
Circuit Breakers for Engineering StudentsCircuit Breakers for Engineering Students
Circuit Breakers for Engineering Students
 
Max. shear stress theory-Maximum Shear Stress Theory ​ Maximum Distortional ...
Max. shear stress theory-Maximum Shear Stress Theory ​  Maximum Distortional ...Max. shear stress theory-Maximum Shear Stress Theory ​  Maximum Distortional ...
Max. shear stress theory-Maximum Shear Stress Theory ​ Maximum Distortional ...
 
Path loss model, OKUMURA Model, Hata Model
Path loss model, OKUMURA Model, Hata ModelPath loss model, OKUMURA Model, Hata Model
Path loss model, OKUMURA Model, Hata Model
 
What is Coordinate Measuring Machine? CMM Types, Features, Functions
What is Coordinate Measuring Machine? CMM Types, Features, FunctionsWhat is Coordinate Measuring Machine? CMM Types, Features, Functions
What is Coordinate Measuring Machine? CMM Types, Features, Functions
 
NEWLETTER FRANCE HELICES/ SDS SURFACE DRIVES - MAY 2024
NEWLETTER FRANCE HELICES/ SDS SURFACE DRIVES - MAY 2024NEWLETTER FRANCE HELICES/ SDS SURFACE DRIVES - MAY 2024
NEWLETTER FRANCE HELICES/ SDS SURFACE DRIVES - MAY 2024
 
Working Principle of Echo Sounder and Doppler Effect.pdf
Working Principle of Echo Sounder and Doppler Effect.pdfWorking Principle of Echo Sounder and Doppler Effect.pdf
Working Principle of Echo Sounder and Doppler Effect.pdf
 
DBMS-Report on Student management system.pptx
DBMS-Report on Student management system.pptxDBMS-Report on Student management system.pptx
DBMS-Report on Student management system.pptx
 

Featured

PEPSICO Presentation to CAGNY Conference Feb 2024
PEPSICO Presentation to CAGNY Conference Feb 2024PEPSICO Presentation to CAGNY Conference Feb 2024
PEPSICO Presentation to CAGNY Conference Feb 2024Neil Kimberley
 
Content Methodology: A Best Practices Report (Webinar)
Content Methodology: A Best Practices Report (Webinar)Content Methodology: A Best Practices Report (Webinar)
Content Methodology: A Best Practices Report (Webinar)contently
 
How to Prepare For a Successful Job Search for 2024
How to Prepare For a Successful Job Search for 2024How to Prepare For a Successful Job Search for 2024
How to Prepare For a Successful Job Search for 2024Albert Qian
 
Social Media Marketing Trends 2024 // The Global Indie Insights
Social Media Marketing Trends 2024 // The Global Indie InsightsSocial Media Marketing Trends 2024 // The Global Indie Insights
Social Media Marketing Trends 2024 // The Global Indie InsightsKurio // The Social Media Age(ncy)
 
Trends In Paid Search: Navigating The Digital Landscape In 2024
Trends In Paid Search: Navigating The Digital Landscape In 2024Trends In Paid Search: Navigating The Digital Landscape In 2024
Trends In Paid Search: Navigating The Digital Landscape In 2024Search Engine Journal
 
5 Public speaking tips from TED - Visualized summary
5 Public speaking tips from TED - Visualized summary5 Public speaking tips from TED - Visualized summary
5 Public speaking tips from TED - Visualized summarySpeakerHub
 
ChatGPT and the Future of Work - Clark Boyd
ChatGPT and the Future of Work - Clark Boyd ChatGPT and the Future of Work - Clark Boyd
ChatGPT and the Future of Work - Clark Boyd Clark Boyd
 
Getting into the tech field. what next
Getting into the tech field. what next Getting into the tech field. what next
Getting into the tech field. what next Tessa Mero
 
Google's Just Not That Into You: Understanding Core Updates & Search Intent
Google's Just Not That Into You: Understanding Core Updates & Search IntentGoogle's Just Not That Into You: Understanding Core Updates & Search Intent
Google's Just Not That Into You: Understanding Core Updates & Search IntentLily Ray
 
Time Management & Productivity - Best Practices
Time Management & Productivity -  Best PracticesTime Management & Productivity -  Best Practices
Time Management & Productivity - Best PracticesVit Horky
 
The six step guide to practical project management
The six step guide to practical project managementThe six step guide to practical project management
The six step guide to practical project managementMindGenius
 
Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...
Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...
Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...RachelPearson36
 
Unlocking the Power of ChatGPT and AI in Testing - A Real-World Look, present...
Unlocking the Power of ChatGPT and AI in Testing - A Real-World Look, present...Unlocking the Power of ChatGPT and AI in Testing - A Real-World Look, present...
Unlocking the Power of ChatGPT and AI in Testing - A Real-World Look, present...Applitools
 
12 Ways to Increase Your Influence at Work
12 Ways to Increase Your Influence at Work12 Ways to Increase Your Influence at Work
12 Ways to Increase Your Influence at WorkGetSmarter
 
Ride the Storm: Navigating Through Unstable Periods / Katerina Rudko (Belka G...
Ride the Storm: Navigating Through Unstable Periods / Katerina Rudko (Belka G...Ride the Storm: Navigating Through Unstable Periods / Katerina Rudko (Belka G...
Ride the Storm: Navigating Through Unstable Periods / Katerina Rudko (Belka G...DevGAMM Conference
 
Barbie - Brand Strategy Presentation
Barbie - Brand Strategy PresentationBarbie - Brand Strategy Presentation
Barbie - Brand Strategy PresentationErica Santiago
 

Featured (20)

PEPSICO Presentation to CAGNY Conference Feb 2024
PEPSICO Presentation to CAGNY Conference Feb 2024PEPSICO Presentation to CAGNY Conference Feb 2024
PEPSICO Presentation to CAGNY Conference Feb 2024
 
Content Methodology: A Best Practices Report (Webinar)
Content Methodology: A Best Practices Report (Webinar)Content Methodology: A Best Practices Report (Webinar)
Content Methodology: A Best Practices Report (Webinar)
 
How to Prepare For a Successful Job Search for 2024
How to Prepare For a Successful Job Search for 2024How to Prepare For a Successful Job Search for 2024
How to Prepare For a Successful Job Search for 2024
 
Social Media Marketing Trends 2024 // The Global Indie Insights
Social Media Marketing Trends 2024 // The Global Indie InsightsSocial Media Marketing Trends 2024 // The Global Indie Insights
Social Media Marketing Trends 2024 // The Global Indie Insights
 
Trends In Paid Search: Navigating The Digital Landscape In 2024
Trends In Paid Search: Navigating The Digital Landscape In 2024Trends In Paid Search: Navigating The Digital Landscape In 2024
Trends In Paid Search: Navigating The Digital Landscape In 2024
 
5 Public speaking tips from TED - Visualized summary
5 Public speaking tips from TED - Visualized summary5 Public speaking tips from TED - Visualized summary
5 Public speaking tips from TED - Visualized summary
 
ChatGPT and the Future of Work - Clark Boyd
ChatGPT and the Future of Work - Clark Boyd ChatGPT and the Future of Work - Clark Boyd
ChatGPT and the Future of Work - Clark Boyd
 
Getting into the tech field. what next
Getting into the tech field. what next Getting into the tech field. what next
Getting into the tech field. what next
 
Google's Just Not That Into You: Understanding Core Updates & Search Intent
Google's Just Not That Into You: Understanding Core Updates & Search IntentGoogle's Just Not That Into You: Understanding Core Updates & Search Intent
Google's Just Not That Into You: Understanding Core Updates & Search Intent
 
How to have difficult conversations
How to have difficult conversations How to have difficult conversations
How to have difficult conversations
 
Introduction to Data Science
Introduction to Data ScienceIntroduction to Data Science
Introduction to Data Science
 
Time Management & Productivity - Best Practices
Time Management & Productivity -  Best PracticesTime Management & Productivity -  Best Practices
Time Management & Productivity - Best Practices
 
The six step guide to practical project management
The six step guide to practical project managementThe six step guide to practical project management
The six step guide to practical project management
 
Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...
Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...
Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...
 
Unlocking the Power of ChatGPT and AI in Testing - A Real-World Look, present...
Unlocking the Power of ChatGPT and AI in Testing - A Real-World Look, present...Unlocking the Power of ChatGPT and AI in Testing - A Real-World Look, present...
Unlocking the Power of ChatGPT and AI in Testing - A Real-World Look, present...
 
12 Ways to Increase Your Influence at Work
12 Ways to Increase Your Influence at Work12 Ways to Increase Your Influence at Work
12 Ways to Increase Your Influence at Work
 
ChatGPT webinar slides
ChatGPT webinar slidesChatGPT webinar slides
ChatGPT webinar slides
 
More than Just Lines on a Map: Best Practices for U.S Bike Routes
More than Just Lines on a Map: Best Practices for U.S Bike RoutesMore than Just Lines on a Map: Best Practices for U.S Bike Routes
More than Just Lines on a Map: Best Practices for U.S Bike Routes
 
Ride the Storm: Navigating Through Unstable Periods / Katerina Rudko (Belka G...
Ride the Storm: Navigating Through Unstable Periods / Katerina Rudko (Belka G...Ride the Storm: Navigating Through Unstable Periods / Katerina Rudko (Belka G...
Ride the Storm: Navigating Through Unstable Periods / Katerina Rudko (Belka G...
 
Barbie - Brand Strategy Presentation
Barbie - Brand Strategy PresentationBarbie - Brand Strategy Presentation
Barbie - Brand Strategy Presentation
 

Numerical Intregation