Mathematics · 2018
JEE Main · 16 April 2018, Shift 1 · Q75
If f(x)=∫_0^x t ( sin x- sin t ) dt then:
If $\displaystyle f(x)=\int_0^x \mathrm{t}(\sin x-\sin \mathrm{t}) \mathrm{dt}$ then :
Official answer
(3)
$\displaystyle f^{\prime \prime \prime}(x)+f^{\prime}(x)=\cos x-2 x \sin x$
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JEE Main 2018 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.