Integration notes
14 notes by 13 users
This page gathers user-made integration notes, from definite integrals and substitution to areas and volumes. University students and professional candidates, school students and teachers can use them to review techniques and applications. Explore over 10 notes spanning school and university levels, and pick one to start with.
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Notes
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Integral Maths - Definite Integrals What is a definite integral? So far we have just considered integration as the reverse of differentiation. However, integration does have uses other than just reversing differentiation. The integral of a function betw...
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Untitled - created from Mind Map BASIC SUBSTITUTION METHOD COMPLETING THE SQUARE TRIGONOMETRIC IDENTITIES
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Calculus Notes The Shell Method The shell method of finding the volume of solids of revolution All integrals are preceded by 2 pi to account for the area of the circular base Integrate the entire shaded region of the graph The Integ...
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Untitled
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CH. 6 - created from Mind Map 6.1 Area between two curves 6.2 Volumes by Slicing, DIsks, Washers 6.3 Volumes by cylindrical Shells
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1_Integration Strategy - created from Mind Map Step 1 Step 2 Step 3
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INTEGRATION - created from Mind Map STEP 1:SIMPLIFY STEP 2: SIMPLE SUBSTITUTION STEP 3:SIMPLE SUBSTITUTION DO NOT WORK
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Strategies of Integration - created from Mind Map 1st step 2nd step 3rd step
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1_INTEGRATION - created from Mind Map STEP 1:SIMPLIFY STEP 2: SIMPLE SUBSTITUTION STEP 3:SIMPLE SUBSTITUTION DO NOT WORK
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Strategy for Integration - created from Mind Map Simplify Substitution Method Classify
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DEFINITE INTEGRAL If the integrand is a derivative of a known function, then the corresponding indefinite integral can be directly evaluated. If the integrand is not a derivative of a known function, the integral may be evaluated with ...
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Integration Techniques - creado desde un Mapa Mental Integration through Substitution Integration of Trigonometric Functions Integration of Logarithms
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INTEGRATION TECHNIQUES - created from Mind Map MULTIPLY BY IN FORM OF ONE ELIMINATING THE SQUARE ROOT
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Basic Integral Rules
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About integration notes
GoConqr OriginalWhat the integration notes cover
The notes bring together explanations and outlines of integration techniques. Some are drawn from mind maps and set out steps for simplifying an integrand, trying substitution and choosing what to do next. Others cover definite integrals, area between curves and methods for finding volumes.
How to use the notes
Start with Integral Maths - Definite Integrals if you want an introduction to definite integrals and worked examples, including negative answers. For a technique-focused review, look at the notes on integration strategy and follow their steps for simplifying and identifying an integral.
Use Calculus Notes to review the shell method for volumes. As you read, make a short summary of the method or example you want to revisit. When you want to test recall, switch to a quiz or flashcards on the Integration unit page. Choose a note that fits your current topic and give it a read.
Frequently asked questions
Which note should I start with?
Try Integral Maths - Definite Integrals for an introduction to definite integrals and examples. If you are looking for a way to choose between techniques, start with one of the strategy notes instead. These outline steps such as simplifying the integrand and looking for a substitution.
What topics do the integration notes cover?
The notes include definite integrals, substitution and integration by parts, as well as trigonometric identities and other techniques. There are also notes on area between curves and volumes. Some resources were created from mind maps, so they present techniques and decisions as a sequence of steps.
Are the notes free to use?
Yes. Every resource listed here is free to open and study without an account. The notes were made by GoConqr users. A free account also lets you make your own notes, quizzes, mind maps and flashcards, and save your quiz scores.