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(Solved): We want to compute the integral \int tan^(-1)(x)dx. If we use integration by parts, with u=tan^(-1)( ...
We want to compute the integral
\int tan^(-1)(x)dx. If we use integration by parts, with
u=tan^(-1)(x)and
dv=dx, what do we get?
tan^(-1)(x)-\int x*tan^(-1)(x)dx
x*tan^(-1)(x)-\int (1)/(1 x^(2))dx
x*tan^(-1)(x)-\int (x)/(1 x^(2))dx
(x)/(1 x^(2))-\int (1)/(1 x^(2))dx