Mathematics · 2020
JEE Main · 5 September 2020, Shift 2 · Q62
If ∫ (cos θ)/(5+7 sin θ-2 cos^2 θ) d θ= A log_e | B (θ)|+ C, where C is a constant of integration, then (B (θ))/A can be:
If $\displaystyle \int \frac{\cos \theta}{5+7 \sin \theta-2 \cos ^2 \theta} \mathrm{~d} \theta=\mathrm{A} \log _{\mathrm{e}}|\mathrm{B}(\theta)|+\mathrm{C}$, where $\displaystyle C$ is a constant of integration, then $\displaystyle \frac{\mathrm{B}(\theta)}{\mathrm{A}}$ can be :
Official answer
(2)
$\displaystyle \frac{5(2 \sin \theta+1)}{\sin \theta+3}$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.