NIELIT 2021 Dec Scientist A - Section B: 116

Question

$\iint \dfrac{xy}{\sqrt {1-y^{2}}} dxdy .$ Over the positive quadrant of the circle $x^{2} + y^{2} = 1$ is _______________ .

• A. $\frac{1}{6}$
• B. $\frac{2}{3}$
• C. $\frac{5}{6}$
• D. $\frac{5}{3}$