Integral calculus | Articles containing proofs

Integration by substitution

In calculus, integration by substitution, also known as u-substitution, reverse chain rule or change of variables, is a method for evaluating integrals and antiderivatives. It is the counterpart to the chain rule for differentiation, and can loosely be thought of as using the chain rule "backwards". (Wikipedia).

Video thumbnail

Integration 8 The Substitution Rule in Integration Part 2 Example 6

Working through an example using substitution in integration.

From playlist Integration

Video thumbnail

Integration 8 The Substitution Rule in Integration Part 2 Example 7

Working through an example using substitution in integration.

From playlist Integration

Video thumbnail

Integration 8 The Substitution Rule in Integration Part 2 Example 1

Working through an example of substitution in integration.

From playlist Integration

Video thumbnail

Integration 8 The Substitution Rule in Integration Part 2 Example 9

Working through an example using substitution in integration.

From playlist Integration

Video thumbnail

Integration 8 The Substitution Rule in Integration Part 2 Example 8

Working through an example using substitution in integration.

From playlist Integration

Video thumbnail

Integration 8 The Substitution Rule in Integration Part 2 Example 5

Working through an example using the substitution rule in integration.

From playlist Integration

Video thumbnail

Integration 8 The Substitution Rule in Integration Part 2 Example 3

Working through an example using the reverse of the chain rule for integration.

From playlist Integration

Video thumbnail

Integration 8 The Substitution Rule for Integration Part 1

An explanation of the reverse of the chain rule in integration.

From playlist Integration

Video thumbnail

Integration 8 The Substitution Rule in Integration Part 2 Example 4

Working through and example using the reverse of the chain rule in integration.

From playlist Integration

Video thumbnail

Trig substitution - How to solve?

► My Integrals course: https://www.kristakingmath.com/integrals-course Trigonometric substitution (more affectionately known as trig substitution, or trig sub), is another integration method you can use to simplify integrals. It’s like u-substitution, integration by parts, or partial frac

From playlist Integrals

Video thumbnail

Trig Substitution... How? (NancyPi)

MIT grad shows how to integrate using trigonometric substitution. To skip ahead: 1) For HOW TO KNOW WHICH trig substitution to use (sin, tan, or sec), skip to 0:18. 2) For how to do a SIN SUB and WHEN TO TRY TRIG SUB, skip to 1:29. 3) For a TAN SUB with the radical in the NUMERATOR, skip t

From playlist Calculus: Integration

Video thumbnail

AP Calculus BC: Lesson 2.4 Trigonometric Substitution

AP Calculus BC Unit 2: Advanced Integration Lesson 4: Trigonometric Substitution

From playlist AP Calculus BC

Video thumbnail

Change of variables and the integral -- Calculus I

This lecture is on Calculus I. It follows Part I of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.

From playlist Calculus I

Video thumbnail

How to Integrate Using U-Substitution (NancyPi)

MIT grad shows how to do integration using u-substitution (Calculus). To skip ahead: 1) for a BASIC example where your du gives you exactly the expression you need in order to substitute, skip to time 1:30. 2) For an example where you have to REARRANGE THE DU by multiplying or dividing bec

From playlist Calculus: Integration

Video thumbnail

MATH1011 Section 3.2 Question 1 a,f,i

In this video we find some indefinite integrals by inspection and by substitution. Presented by Thanom Shaw of the School of Mathematics and Statistics, UNSW.

From playlist MATH1011 Calculus Problems

Video thumbnail

Integration by substitution continued -- Calculus I

This lecture is on Calculus I. It follows Part I of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.

From playlist Calculus I

Video thumbnail

Integration via substitutions.

Free ebook http://tinyurl.com/EngMathYT A lecture on the mathematics of integration via rationalizing substitutions and Weierstrass (t) substitutions. Plenty of examples are presented and solved to illustrate the theory. Such ideas are seen in university mathematics.

From playlist A second course in university calculus.

Video thumbnail

Integration Practice III | MIT 18.01SC Single Variable Calculus, Fall 2010

Integration Practice III Instructor: Joel Lewis View the complete course: http://ocw.mit.edu/18-01SCF10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 18.01SC: Homework Help for Single Variable Calculus

Video thumbnail

Integration by substitution -- Calculus I

This lecture is on Calculus I. It follows Part I of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.

From playlist Calculus I

Video thumbnail

Integration by substitution

Free ebook http://tinyurl.com/EngMathYT Example on integration via rationalizing substitutions.

From playlist A second course in university calculus.

Related pages

Absolute value | Sard's theorem | Differential form | Change of variables | Antiderivative | Derivative | Differential of a function | Chain rule | Almost everywhere | Probability density function | Differentiable function | Continuous function | Σ-compact space | Élie Cartan | Inverse function theorem | Determinant | Partial derivative | Hausdorff space | Injective function | Adrien-Marie Legendre | List of trigonometric identities | Euler substitution | Parallelepiped | Leibniz's notation | Fundamental theorem of calculus | Integral | Calculus | Infinitesimal | Geometric measure theory | Interval (mathematics) | Radon measure | Integration by parts | Function composition | Constant of integration | Trigonometric substitution | Pushforward measure | Rademacher's theorem