## anonymous 5 years ago ∫ tan^(-1) (πx)-tan^(-1) (x)dx ,defined from 0 to 2 suggestion: write the integrand as an integral

1. anonymous

$\int arctan(x)=xarctan(x)-\frac{1}{2}ln(1+x^2)$

2. anonymous

I do not understand when I say: suggestion: write the integrand as an integral explain me

3. anonymous

i am not sure i do either. arctan is the antiderivative of $\frac{1}{1+t^2}$