Thread: integral

I need help with this integral

integral of arctan of the square root of (1-x) in dx

thanks for your help

Originally Posted by 0123

I need help with this integral

integral of arctan of the square root of (1-x) in dx

thanks for your help

put u=sqrt(1-x),

then dx=-2u du, and the integral becomes:

int -2u atan(u) du,

which in my book is a standard integral.

RonL

It is not on my book..I made the same substitution and tried to go on by parts considering u as the derivative of u^2/2 but then I got stuck on the integral u^2/(1+u^2) in du. Can you tell me the standard integral so that the solution might help me see how I can go on? Thanks