Mathematics · 2015
JEE Main · 11 April 2015, Shift 1 · Q76
Let f:(-1,1) → R be a continuous function. If ∫_0^sin x f( t ) dt =(√ 3)/2 x, then f((√ 3)/2) is equal to:
Let $\displaystyle f:(-1,1) \rightarrow \mathbf{R}$ be a continuous function. If $\displaystyle \int_0^{\sin x} f(\mathrm{t}) \mathrm{dt}=\frac{\sqrt{3}}{2} x$, then $\displaystyle f\left(\frac{\sqrt{3}}{2}\right)$ is equal to :
Official answer
(2)
$\displaystyle \sqrt{3}$
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JEE Main 2015 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.