# Solution for cos^3 x dx.

• PrudensOptimus
In summary, the solution for integrating cos^3 x dx is sinx - sin^3 x / 3 + C, which can be found by solving the integral of cosx*(1-sin^2x) dx. However, there may be confusion on how to solve cosx*(1-sin^x) dx and it may be helpful to mention that you are trying to integrate. One approach is to distribute the multiplication and see if that gives any hints. Another approach is to use substitution, which may be more familiar.

#### 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?

It would help if you mentioned you're trying to integrate!

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

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.

Good point. But, I presume, you know substitution?

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

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