Hi, I tried this problem and got an answer but I am not sure if it is the correct solution. If someone could check my solution, that'd be great.

Q: the integral of the inverse sine of 2x dx (ie: of sin^-1(2x) )

I used integration by parts and also substituiton and this is the answer I ended up with:

xsin^-1(2x) + 1/4*ln(|1-4x^2|) + C