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)

3. ∫5xsec^2(x^2)dx

4. ∫(4x-5/x^2)dx

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!