# Thread: can someone help me simplify this?

2. ## Re: can someone help me simplify this?

We can write this as $\displaystyle 2\pi |a|\int_0^b \sqrt{x}\sqrt{1+ \frac{a^2}{4x}}dx$. That is the same as $\displaystyle 2\pi a \int_0^b \sqrt{x+ \frac{a^2}{4}}dx$. Can you integrate that?