note10 - Math021 week 10 Integration by Substitution Theorem 10.1 If f and g are functions f(g(x is an antiderivative of f(g(x)g(x That is f(g(x)g(x)dx

note10 - Math021 week 10 Integration by Substitution...

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Math021, week 10 Integration by Substitution Theorem 10.1 Example 10.2EvaluateZ2x(1 +x2)8dx. 1
Example 10.5EvaluateZesinxcosxdx. Example 10.6Evaluate the area of the region bounded by the graph off(x) =esinxcosx, the x-axis, the linesx= 0andx=π/2.

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