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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


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