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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1
For I(x)=∫sec⁡2x−2022sin⁡2022xdxI(x)=\int \frac{\sec ^2 x-2022}{\sin ^{2022} x} d x, if I(π4)=21011I\left(\frac{\pi}{4}\right)=2^{1011}, then
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Correct option: A
31010I(π3)−I(π6)=03^{1010} I\left(\frac{\pi}{3}\right)-I\left(\frac{\pi}{6}\right)=0
Option A (31010I(π3)−I(π6)=03^{1010} I(\frac{\pi}{3})-I(\frac{\pi}{6})=0) is correct because after integrating and substituting the given values, the equation holds true.

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