1. Integral of (e^x+1)dx/(e^x-1)

I tried the method of substitution and i let u be e^x-1. then du=e^xdx so solving for dx=du/e^x. I dont think this is correct. It doesnt make anything easier. Can someone lead me in the right direction?

2. Integral of t dt/(sqrt(4-t^4))

I let u = 4-t^4 so du=-4t^3dt, then dt=-du/-4t^3. What do i do now?