Mathematics · 2022
JEE Main · 29 July 2022, Shift 2 · Q8
For I(x)=∫ (sec^2 x-2022)/(sin^2022 x) d x, if I((π)/4)=2^1011, then
For $\displaystyle I(x)=\int \frac{\sec ^2 x-2022}{\sin ^{2022} x} d x$, if $\displaystyle I\left(\frac{\pi}{4}\right)=2^{1011}$, then
Official answer
(1)
$\displaystyle 3^{1010} I\left(\frac{\pi}{3}\right)-I\left(\frac{\pi}{6}\right)=0$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.