Question

please solve this (15 points)......
99.Evaluate the following integral..

Answer 1

Assume

$Sin^{-1}x =t$

Now $\int\limits^a_b {t^{2} cost} \, dt$ then solve  

Answer 2

Sin^{-1}x =t

Now  \int\limits^a_b {t^{2} cost} \, dt

then solve

hope this helps