This document summarizes the key theorems of integral calculus taught in a lesson. It outlines 4 theorems:
1) The integral of any variable dx is x + C
2) The integral of a constant times a variable is that constant times the variable + C
3) The integral of a variable raised to a constant power n is that variable raised to n+1 over n+1 + C, when n does not equal -1
4) The integral of 1 over any variable or a variable raised to a negative constant power is the natural log of the absolute value of that variable + C
It provides examples for each theorem and has sections on reviewing the lesson, introducing a concept with a "magic
In this class we will examine the decimal number system, operations and notation. We will also examone math operations on positional number systems and begin to explore dimensional (unit) analysis and calculations.
In this class we will examine the decimal number system, operations and notation. We will also examone math operations on positional number systems and begin to explore dimensional (unit) analysis and calculations.
Continuity, Removable Discontinuity, Essential Discontinuity. These slides accompany my lectures in differential calculus with BSIE and GenENG students of LPU Batangas
General Mathematics - Representation and Types of FunctionsJuan Miguel Palero
It is a powerpoint presentation that will help the students to enrich their knowledge about Senior High School subject of General Mathematics. It is comprised about the representation, definition, and types of functions.
Continuity, Removable Discontinuity, Essential Discontinuity. These slides accompany my lectures in differential calculus with BSIE and GenENG students of LPU Batangas
General Mathematics - Representation and Types of FunctionsJuan Miguel Palero
It is a powerpoint presentation that will help the students to enrich their knowledge about Senior High School subject of General Mathematics. It is comprised about the representation, definition, and types of functions.
Opening of our Deep Learning Lunch & Learn series. First session: introduction to Neural Networks, Gradient descent and backpropagation, by Pablo J. Villacorta, with a prologue by Fernando Velasco
GR 8 Math Powerpoint about Polynomial Techniquesreginaatin
-This is a powerpoint inspired by one of Canva displayed presentation.
- This is about Math Polynomials and good for highschoolers presentation for school.
- It consists of 39 pages explaining each of the Polynomial Techniques.
- Good for review or inspired powerpoint.
NO1 Uk best vashikaran specialist in delhi vashikaran baba near me online vas...Amil Baba Dawood bangali
Contact with Dawood Bhai Just call on +92322-6382012 and we'll help you. We'll solve all your problems within 12 to 24 hours and with 101% guarantee and with astrology systematic. If you want to take any personal or professional advice then also you can call us on +92322-6382012 , ONLINE LOVE PROBLEM & Other all types of Daily Life Problem's.Then CALL or WHATSAPP us on +92322-6382012 and Get all these problems solutions here by Amil Baba DAWOOD BANGALI
#vashikaranspecialist #astrologer #palmistry #amliyaat #taweez #manpasandshadi #horoscope #spiritual #lovelife #lovespell #marriagespell#aamilbabainpakistan #amilbabainkarachi #powerfullblackmagicspell #kalajadumantarspecialist #realamilbaba #AmilbabainPakistan #astrologerincanada #astrologerindubai #lovespellsmaster #kalajaduspecialist #lovespellsthatwork #aamilbabainlahore#blackmagicformarriage #aamilbaba #kalajadu #kalailam #taweez #wazifaexpert #jadumantar #vashikaranspecialist #astrologer #palmistry #amliyaat #taweez #manpasandshadi #horoscope #spiritual #lovelife #lovespell #marriagespell#aamilbabainpakistan #amilbabainkarachi #powerfullblackmagicspell #kalajadumantarspecialist #realamilbaba #AmilbabainPakistan #astrologerincanada #astrologerindubai #lovespellsmaster #kalajaduspecialist #lovespellsthatwork #aamilbabainlahore #blackmagicforlove #blackmagicformarriage #aamilbaba #kalajadu #kalailam #taweez #wazifaexpert #jadumantar #vashikaranspecialist #astrologer #palmistry #amliyaat #taweez #manpasandshadi #horoscope #spiritual #lovelife #lovespell #marriagespell#aamilbabainpakistan #amilbabainkarachi #powerfullblackmagicspell #kalajadumantarspecialist #realamilbaba #AmilbabainPakistan #astrologerincanada #astrologerindubai #lovespellsmaster #kalajaduspecialist #lovespellsthatwork #aamilbabainlahore #Amilbabainuk #amilbabainspain #amilbabaindubai #Amilbabainnorway #amilbabainkrachi #amilbabainlahore #amilbabaingujranwalan #amilbabainislamabad
Sachpazis:Terzaghi Bearing Capacity Estimation in simple terms with Calculati...Dr.Costas Sachpazis
Terzaghi's soil bearing capacity theory, developed by Karl Terzaghi, is a fundamental principle in geotechnical engineering used to determine the bearing capacity of shallow foundations. This theory provides a method to calculate the ultimate bearing capacity of soil, which is the maximum load per unit area that the soil can support without undergoing shear failure. The Calculation HTML Code included.
Cosmetic shop management system project report.pdfKamal Acharya
Buying new cosmetic products is difficult. It can even be scary for those who have sensitive skin and are prone to skin trouble. The information needed to alleviate this problem is on the back of each product, but it's thought to interpret those ingredient lists unless you have a background in chemistry.
Instead of buying and hoping for the best, we can use data science to help us predict which products may be good fits for us. It includes various function programs to do the above mentioned tasks.
Data file handling has been effectively used in the program.
The automated cosmetic shop management system should deal with the automation of general workflow and administration process of the shop. The main processes of the system focus on customer's request where the system is able to search the most appropriate products and deliver it to the customers. It should help the employees to quickly identify the list of cosmetic product that have reached the minimum quantity and also keep a track of expired date for each cosmetic product. It should help the employees to find the rack number in which the product is placed.It is also Faster and more efficient way.
CFD Simulation of By-pass Flow in a HRSG module by R&R Consult.pptxR&R Consult
CFD analysis is incredibly effective at solving mysteries and improving the performance of complex systems!
Here's a great example: At a large natural gas-fired power plant, where they use waste heat to generate steam and energy, they were puzzled that their boiler wasn't producing as much steam as expected.
R&R and Tetra Engineering Group Inc. were asked to solve the issue with reduced steam production.
An inspection had shown that a significant amount of hot flue gas was bypassing the boiler tubes, where the heat was supposed to be transferred.
R&R Consult conducted a CFD analysis, which revealed that 6.3% of the flue gas was bypassing the boiler tubes without transferring heat. The analysis also showed that the flue gas was instead being directed along the sides of the boiler and between the modules that were supposed to capture the heat. This was the cause of the reduced performance.
Based on our results, Tetra Engineering installed covering plates to reduce the bypass flow. This improved the boiler's performance and increased electricity production.
It is always satisfying when we can help solve complex challenges like this. Do your systems also need a check-up or optimization? Give us a call!
Work done in cooperation with James Malloy and David Moelling from Tetra Engineering.
More examples of our work https://www.r-r-consult.dk/en/cases-en/
Automobile Management System Project Report.pdfKamal Acharya
The proposed project is developed to manage the automobile in the automobile dealer company. The main module in this project is login, automobile management, customer management, sales, complaints and reports. The first module is the login. The automobile showroom owner should login to the project for usage. The username and password are verified and if it is correct, next form opens. If the username and password are not correct, it shows the error message.
When a customer search for a automobile, if the automobile is available, they will be taken to a page that shows the details of the automobile including automobile name, automobile ID, quantity, price etc. “Automobile Management System” is useful for maintaining automobiles, customers effectively and hence helps for establishing good relation between customer and automobile organization. It contains various customized modules for effectively maintaining automobiles and stock information accurately and safely.
When the automobile is sold to the customer, stock will be reduced automatically. When a new purchase is made, stock will be increased automatically. While selecting automobiles for sale, the proposed software will automatically check for total number of available stock of that particular item, if the total stock of that particular item is less than 5, software will notify the user to purchase the particular item.
Also when the user tries to sale items which are not in stock, the system will prompt the user that the stock is not enough. Customers of this system can search for a automobile; can purchase a automobile easily by selecting fast. On the other hand the stock of automobiles can be maintained perfectly by the automobile shop manager overcoming the drawbacks of existing system.
Final project report on grocery store management system..pdfKamal Acharya
In today’s fast-changing business environment, it’s extremely important to be able to respond to client needs in the most effective and timely manner. If your customers wish to see your business online and have instant access to your products or services.
Online Grocery Store is an e-commerce website, which retails various grocery products. This project allows viewing various products available enables registered users to purchase desired products instantly using Paytm, UPI payment processor (Instant Pay) and also can place order by using Cash on Delivery (Pay Later) option. This project provides an easy access to Administrators and Managers to view orders placed using Pay Later and Instant Pay options.
In order to develop an e-commerce website, a number of Technologies must be studied and understood. These include multi-tiered architecture, server and client-side scripting techniques, implementation technologies, programming language (such as PHP, HTML, CSS, JavaScript) and MySQL relational databases. This is a project with the objective to develop a basic website where a consumer is provided with a shopping cart website and also to know about the technologies used to develop such a website.
This document will discuss each of the underlying technologies to create and implement an e- commerce website.
COLLEGE BUS MANAGEMENT SYSTEM PROJECT REPORT.pdfKamal Acharya
The College Bus Management system is completely developed by Visual Basic .NET Version. The application is connect with most secured database language MS SQL Server. The application is develop by using best combination of front-end and back-end languages. The application is totally design like flat user interface. This flat user interface is more attractive user interface in 2017. The application is gives more important to the system functionality. The application is to manage the student’s details, driver’s details, bus details, bus route details, bus fees details and more. The application has only one unit for admin. The admin can manage the entire application. The admin can login into the application by using username and password of the admin. The application is develop for big and small colleges. It is more user friendly for non-computer person. Even they can easily learn how to manage the application within hours. The application is more secure by the admin. The system will give an effective output for the VB.Net and SQL Server given as input to the system. The compiled java program given as input to the system, after scanning the program will generate different reports. The application generates the report for users. The admin can view and download the report of the data. The application deliver the excel format reports. Because, excel formatted reports is very easy to understand the income and expense of the college bus. This application is mainly develop for windows operating system users. In 2017, 73% of people enterprises are using windows operating system. So the application will easily install for all the windows operating system users. The application-developed size is very low. The application consumes very low space in disk. Therefore, the user can allocate very minimum local disk space for this application.
Student information management system project report ii.pdfKamal Acharya
Our project explains about the student management. This project mainly explains the various actions related to student details. This project shows some ease in adding, editing and deleting the student details. It also provides a less time consuming process for viewing, adding, editing and deleting the marks of the students.
Overview of the fundamental roles in Hydropower generation and the components involved in wider Electrical Engineering.
This paper presents the design and construction of hydroelectric dams from the hydrologist’s survey of the valley before construction, all aspects and involved disciplines, fluid dynamics, structural engineering, generation and mains frequency regulation to the very transmission of power through the network in the United Kingdom.
Author: Robbie Edward Sayers
Collaborators and co editors: Charlie Sims and Connor Healey.
(C) 2024 Robbie E. Sayers
2. Today’s Session
▪ Review of the Past Lesson
▪ Magic Box (Motivation)
▪ Lesson for the day
▪ Application
▪ Evaluation
▪ Objective for today’s session
Magcalas, Rommel DemoTeaching
3. Objective for today’s session
Evaluate the anti-
derivatives of a function /
integral of a function using
substitution rule and table of
integrals
Magcalas, Rommel DemoTeaching
4. Review of the Past Lesson
▪ What is INTEGRAL CALCULUS
▪ BASIC FUNDAMENTAL OF INTEGRAL
(Theorem 1-3)
Magcalas, Rommel DemoTeaching
5. INTEGRAL CALCULUS
▪ Branch of calculus that deals
with the function to be
integrated.
∫ f(x) dx
∫ = integral sign/symbol
f(x) = integrand
dx = variable of integration
Magcalas, Rommel DemoTeaching
7. THEOREM 1 (Integral of any variable integration)
∫ dx = x + C
1. ∫ dy
2. ∫ dz
3. ∫ dw
4. ∫ dk
5. ∫ dp
= y + c
= z + c
= w + c
= k + c
= p + c
Magcalas, Rommel DemoTeaching
8. BASIC FUNDAMENTAL
OF INTEGRAL
▪ THEOREM 1 (Integral of any variable
integration)
∫ dx = x + C
▪ THEOREM 2 (Integral of any
constant number in any
variable integration)
∫ adx = ax + C
Magcalas, Rommel DemoTeaching
9. THEOREM 2 (Integral of any constant number in any
variable integration)
∫ adx = ax + C
1. ∫ 2dx
2. ∫ 5dg
3. ∫ 12dk
4. ∫ 9dz
5. ∫ 7dw
= 2x + c
= 5g + c
= 12k + c
= 9z + c
= 7w + c
Magcalas, Rommel DemoTeaching
10. BASIC FUNDAMENTAL
OF INTEGRAL
▪ THEOREM 1 (Integral of any variable
integration)
∫ dx = x + C
▪ THEOREM 2 (Integral of any constant number in
any variable integration)
∫ adx = ax + C
▪ THEOREM 3 (Integral of any variable raise to a
constant number in a variable integration)
∫ xndx = xn+1 + C
n + 1
Note: n ≠ -1Magcalas, Rommel DemoTeaching
11. THEOREM 3 (Integral of any variable raise to a
constant number in a variable integration)
∫ xndx = xn+1 + C
n + 1
1. ∫ x3dx
2. ∫ w5dw
3. ∫ z9dz
4. ∫ k19dk
5. ∫ y32dy
= x3+1 + C = x4 + C
3 + 1 4
= w5+1 + C = w6 + C
5 + 1 6
= z9+1 + C = z10 + C
9 + 1 10
= k19+1 + C = k20 + C
19 + 1 20
= y32+1 + C = y33 + C
32 + 1 33
Magcalas, Rommel DemoTeaching
12. BASIC FUNDAMENTAL
OF INTEGRAL
▪ THEOREM 1 (Integral of any variable
integration)
∫ dx = x + C
▪ THEOREM 2 (Integral of any constant number in
any variable integration)
∫ adx = ax + C
▪ THEOREM 3 (Integral of any variable raise to a
constant number in a variable integration)
∫ xndx = xn+1 + C
n + 1
Note: n ≠ -1Magcalas, Rommel DemoTeaching
14. Magic Box
1. Pass the box to your seatmate
while the music is continuously
playing
2. Once the music stops, picked a
card inside it
3. Categorize the examples into
what Theorem it belongs
INSTRUCTION for this Game
Magcalas, Rommel DemoTeaching
16. BASIC FUNDAMENTAL
OF INTEGRAL
▪ THEOREM 1
∫ dx = x + C
▪ THEOREM 2
∫ adx = ax + C
▪ THEOREM 3
∫ xndx = xn+1 + C
n + 1
Note: n ≠ -1
THEOREM 4 (Integral of
1 over any variable in
a variable integration
or Integral of any
variable raise to
negative 1 in a
variable integration)
∫ 1 dx
x
= ∫ x-1 dxMagcalas, Rommel DemoTeaching
17. = ∫ x-1 dx
= ln │x│ + C
ABSOLUTE VALUE | |
▪ to remove any sign in front of a
number and think of all numbers as
positive (or zero).
∫ 1 dx
x
Magcalas, Rommel DemoTeaching
18. BASIC FUNDAMENTAL
OF INTEGRAL
▪ THEOREM 1
∫ dx = x + C
▪ THEOREM 2
∫ adx = ax + C
▪ THEOREM 3
∫ xndx = xn+1 + C
n + 1
Note: n ≠ -1
THEOREM 4 (Integral of 1
over any variable in a
variable integration or
Integral of any variable
raise to negative 1 in a
variable integration)
∫ 1 dx
x
= ∫ x-1 dx
= ln │x│ + CMagcalas, Rommel DemoTeaching
19. THEOREM 4 (Integral of 1 over any variable in a variable
integration or Integral of any variable raise to any negative
constant number in a variable integration)
∫ 1 dx = ln │x│ + C
x
1. ∫ 1 dx
q
2. ∫ 3 dy
y
3. ∫ 11 dw
w
4. ∫ 7 dx
x
5. ∫ 9 dz
z
= ln | q | + C
= ∫ 3 . 1 dy = 3 ln | y | + C
y
= ∫ 11 . 1 dw = 11 ln | w | + C
w
= ∫ 7 . 1 dx = 7 ln | x | + C
x
= ∫ 9 . 1 dz = 9 ln | z | + C
z
Magcalas, Rommel DemoTeaching
20. THEOREM 4 (Integral of 1 over any variable in a variable
integration or Integral of any variable raise to any negative
constant number in a variable integration)
∫ 1 dx = ln │x│ + C
x
1. ∫ 4 dx
3x
2. ∫ x2-2x +1 dx
x2
3. ∫ 1 dx
x + 2
4. ∫ 3x dx
x2
5. ∫ 8 + 2y – 10y-2 dy
y
= ∫ 4 . 1 dx = 4 ln | x | + C
3 x 3
= ∫x2 dx - ∫2x dx + ∫1 dx
x2 x2 x2
= x- ∫2 . 1 dx + x-2+1 dx
x -2+1
= x - 2 ln |x| - 1 + c
x
= ln │x + 2│+ C
= 3 ln │x│+ C
= 8 ln │y│+ 2y + 20 + C
y2Magcalas, Rommel DemoTeaching