I have two homework problems that have been driving me nuts: 1.) evaluate the indefinite integral: integral(dx(e^ax)cos^2(2bx)) where a and b are real positive constants. I just don't know where to start on it. 2.) Find all values of i^(2/3) So far I have: i^(2/3) = e^(2/3*ln(i)) = e^(2/3*i*(Pi/2 + 2*n*Pi)) = e^(i*Pi/3)*e^(i*n*4Pi/3) I know my three solutions should end up being (1+i*sqrt(3))/2, (1-i*sqrt(3))/2, -1. But I can't seem to get there. I'd really appreciate any help. Sorry if my shorthand is confusing.