Question Id : 13067 |
Context : JEE Main 2022 (26 July Evening Shift)
Let the solution curve $y=f(x)$ of the differential equation
$\dfrac{dy}{dx}+\dfrac{xy}{x^{2}-1}=\dfrac{x^{4}+2x}{\sqrt{1-x^{2}}}$, $x\in(-1,1)$,
pass through the origin. Then $\displaystyle \int_{-\sqrt{3}/2}^{\sqrt{3}/2} f(x)\,dx$ is equal to:
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