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JEE Advanced 2014
Paper-2 2014
Question
The function $y=f(x)$ is the solution of the differential equation $\frac{d y}{d x}+\frac{x y}{x^2-1}=\frac{x^4+2 x}{\sqrt{1-x^2}}$ in ( $-1,1$ ) satisfying $f(0)=0$. Then $\int_{-\frac{\sqrt{3}}{2}}^{\frac{\sqrt{3}}{2}} f(x) d x$ is
Select the correct option:
A
$\frac{\pi}{3}-\frac{\sqrt{3}}{2}$
B
$\frac{\pi}{3}-\frac{\sqrt{3}}{4}$
C
$\frac{\pi}{6}-\frac{\sqrt{3}}{4}$
D
$\frac{\pi}{6}-\frac{\sqrt{3}}{2}$
✓ Correct! Well done.
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Solution
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Mathematics
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