Mathematics · 2023
JEE Main · 1 February 2023, Shift 2 · Q86
If ∫_0^π (5^cos x(1+ cos x cos 3 x+ cos^2 x+ cos^3 x cos 3 x) d x)/(1+5^cos x)=(k π)/16, then k is equal to ____.
If $\displaystyle \int_0^\pi \frac{5^{\cos x}\left(1+\cos x \cos 3 x+\cos ^2 x+\cos ^3 x \cos 3 x\right) \mathrm{d} x}{1+5^{\cos x}}=\frac{\mathrm{k} \pi}{16}$, then k is equal to $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
13
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.