Substitution! (8)

Calculus Level 3

\[\large \displaystyle \int_0^{1/2} \frac{x^2}{(1-x^2)^{{3} / {2}}} \, dx \]

If the value of the integral above can be expressed as \(\dfrac{a \sqrt{b} - \pi}{c} \), where \(a,b\) and \(c\) are integers with \(b\) square-free, find \(a\times b\times c\).

×

Problem Loading...

Note Loading...

Set Loading...