1. The problem statement, all variables and given/known data I have various integration questions to do, and I do not want answers at all, just pointers on where to start.. I have 6 ones, and have only got anywhere with 2 of them (nt the two below) Find integral of with respect to x: 1. ((x-1)/(x+1))1/2 * 1/x 2. 1/(2 - sin2x)(2 + sinx - sin2x) 2. Relevant equations integration by substitution? 3. The attempt at a solution For the first I tried u = x +1 but this doesn't go anywhere- I wouldn't know how to integrate it even without the extra 1/x term so really don't know where to start. For the second I tried the substitution u = sin x thinking maybe this would lead to something where I could use partial fractions (it doesn't), and then there's no cos x to even allow the substitution in the first place. My integration is REALLY rusty, so although I can manage integration by parts and simpler stuff, I seem to have completely lost the technique of what to substitute where. One of the other ones is to find the integral of x * arcsin x dx. For this I get: 1/2(x2 * arcsinx + x (1-x2)1/2 - arcsin x ) + C I can't find a problem in the working (I used integration by parts where u = x, u' = 1, v' = arcsin x, v = x * arcsin x + (1-x2)1/2), but the maths program I use occasionally to check things came up with different coefficients in the answer.