- Thread starter
- #1

#### karush

##### Well-known member

- Jan 31, 2012

- 2,886

$$\quad\displaystyle

y^2(1-x^2)^{1/2} \,dy = \arcsin{x}\,dx,

\quad y(0) = 1$$

separate

$$y^2 \,dy = \frac{\arcsin{x}}{(1-x^2)^{1/2}}\,dx,$$

Integrate

\begin{align*}

\int y^2 \,dy& = \int\frac{\arcsin{x}}{\sqrt{(1-x^2)}}\,dx,

\end{align*}

ok I assume a trig substitution to solve

book answer