I was studying and I met the following problem:

Prove that $\displaystyle \int\sqrt{1-(a^2)(x^2)}$(dx)= $\displaystyle \sqrt{1-(a^2)}$$\displaystyle +\frac{\arcsin(a)}{a}$ for 0 < a < 1

The integration has limits from -1 to 1.(Don't know how to show them with Latex )And its in terms of x.(i.e: (dx))

That "a" is causing me a lot of problems. If anyone can work out this proof for me so that I could retry it, I would deeply appreciate it.