Integration by Substitution

In this topic:

(1) Proposition (Integration by Substitution with a Definite Integral) Let and be differentiable functions of such that Then where is an antiderivative of
    
(2) Example (Integration by Substitution) Use integration by substitution to evaluate
    
(3) Example (Integration by Substitution) Use integration by substitution to evaluate

(4) Example (Integration by Substitution) Use integration by substitution to evaluate
    
(5) Example (Integration by Substitution) Use integration by substitution to evaluate

(6) Example (Integration by Substitution) Use integration by substitution to evaluate
    
(7) Example (Integration by Substitution) Use integration by substitution to evaluate
    

Proposition (Integration by Substitution with a Definite Integral) Let and be differentiable functions of such that Then



where is an antiderivative of

Example (Integration by Substitution) Use integration by substitution to evaluate

    Solution.

Example (Integration by Substitution) Use integration by substitution to evaluate

    Solution.

Example (Integration by Substitution) Use integration by substitution to evaluate

    Solution.

Example (Integration by Substitution) Use integration by substitution to evaluate

    Solution.

Example (Integration by Substitution) Use integration by substitution to evaluate

    Solution.

Example (Integration by Substitution) Use integration by substitution to evaluate

    Solution.

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Integration By Substitution
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
http://www.libraryofmath.com/integration-by-substitution.html