Integration by Substitution - Integration by Substitution The method of substitution can often be used to simplify complicated integration problems

Integration by Substitution - Integration by...

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Integration by Substitution The method of substitution can often be used to simplify complicated integration problems. It is based on the chain rule for differentiation. Suppose that F is an antiderivative of f , and g is a differentiable function. Then by the chain rule. In integral form, we can write this as ( ( )) ( ( )) ( ) d F g x F g x g x dx = ( ( )) ( ) ( ( )) F g x g x dx F g x C = + ( ( )) ( ) ( ( )) (1) f g x g x dx F g x C = + or