# Find the volume of the solid of revolution obtained by rotating the curve #x=3cos^3theta# , #y=3sin^3theta# about the #x# axis?

##### 2 Answers

See the answer below:

See a way to do the integrals involved more quickly below.

#### Explanation:

I'm not going to answer the question at hand here, but I thought it would be helpful to point out that the integrals with odd powers of sine and cosine can be solved more quickly.

For example, to do

Integrals involving only even powers of sine and cosine are harder to solve quickly. The identities