There are a couple things you should change to get better help here. First, one problem per thread please and second, show all attempted work so we know you have tried.
So pick one to start with and show us where you get stuck.
I am stuck on how to find the antiderivatives for the following problems:
1. ∫(4x-5/x^2)dx (For this I got 2x^2 + 5/2x^2+c, does that sound ok?)
2. ∫3x/(x^2+4)^5 dx (I got 3/2 ln (x^2+4)+c)
5. ∫e^4x dx
6. ∫sin(x)cos^3(x) dx
Can someone possibly give me the correct answers for these and some guidance on how to do them? Any help on any of these is greatly appreciated, thanks!