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Mathematics · 2024

JEE Main · 1 February 2024, Shift 2 · Q10

If ∫_0^((π)/3) cos^4 x d x= a π+ b √ 3, where a and b are rational numbers, then 9 a +8 b is equal to:

If $\displaystyle \int_0^{\frac{\pi}{3}} \cos ^4 x \mathrm{~d} x=\mathrm{a} \pi+\mathrm{b} \sqrt{3}$, where a and b are rational numbers, then $\displaystyle 9 \mathrm{a}+8 \mathrm{~b}$ is equal to :
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.