Mathematics · 2019
JEE Main · 12 January 2019, Shift 1 · Q74
The integral ∫ cos ( log_e x) d x is equal to: (where C is a constant of integration)
The integral $\displaystyle \int \cos \left(\log _e x\right) d x$ is equal to :
(where $\displaystyle C$ is a constant of integration)
Official answer
(4)
$\displaystyle \frac{x}{2}\left[\cos \left(\log _e x\right)+\sin \left(\log _e x\right)\right]+C$
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.