Solution for cos^3 x dx.

PrudensOptimus
OK, I know the solution for cos^3 x dx is sinx - sin^3 x / 3 + C.

And that

you basically solve

integral of cosx*(1-sin^2x) dx. to get it.

but,...

what I don't get is how do you solve cosx*(1-sin^x) dx... is there a trick that I didn't get from the parts formula?

Staff Emeritus
Gold Member
It would help if you mentioned you're trying to integrate!

Distribute the multiplication and see if that gives you any hints.

Homework Helper
Yes, one doesn't normally say "solve f(x)dx"!

Hurkyl, I don't see any reason to "distribute" (multiply out) anything. There is an obvious substitution for &int;(1- sin2(x))cos(x)dx.

Staff Emeritus
Gold Member
Good point.

PrudensOptimus

Staff Emeritus
Gold Member
But, I presume, you know substitution?

PrudensOptimus
Nope, any products in Integrals other than those constants are new to me.

Staff Emeritus
Gold Member

E.G. would you know how to integrate &int; sin(&pi;x) dx

PrudensOptimus