I have a few homework problems, and they're asking me to find the antiderivative. They're quite tough, and I'm really confused. Can anyone be of some help on these few?

integral(4x-5/x^3)dx (/ = over.)

integral 3x over (x^2+4)dx. On this one, the 3x isn't in parentheses.

integral 5xsec^2(x^2)dx

integral (4x-5/x^2)dx

integral e^4x dx

integral sin(x)cos^3(x)dx

Any help on ANY of these is greatly appreciated. I'm really lost