Wednesday, October 22, 2014

First make a substitution and then use integration by parts to evaluate the integral


Let 





Now apply integration by parts,


If f(x) and g(x) are differentiable functions then,



If we write f(x)=u and g'(x)=v, then



So, let's take u=x , then u'=1


and v=


then v'=








substitute back and add a constant to the solution,




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