Mathematics · 2024
JEE Main · 5 April 2024, Shift 2 · Q25
If f(t)=∫_0^π (2 x d x)/(1- cos^2 t sin^2 x), 0<t<π, then the value of ∫_0^((π)/2) (π^2 d t)/(f(t)) equals ____.
If $\displaystyle f(t)=\int_0^\pi \frac{2 x d x}{1-\cos ^2 t \sin ^2 x}, 0<t<\pi$, then the value of $\displaystyle \int_0^{\frac{\pi}{2}} \frac{\pi^2 d t}{f(t)}$ equals $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
1
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.