For I(x)=∫ (sec ² x-2022)/(sin ²⁰²² x) d x, if I((π)/4)=2¹⁰¹¹, then

(A) 3¹⁰¹⁰ I((π)/3)-I((π)/6)=0

(B) 3¹⁰¹⁰ I((π)/6)-I((π)/3)=0

(C) 3¹⁰¹¹ I((π)/3)-I((π)/6)=0

(D) 3¹⁰¹¹ I((π)/6)-I((π)/3)=0

Integral Calculus: JEE Main 2022 Mathematics question

JEE Main 2022 · 29 Jul, Evening shift · Q3995

JEE Main 202229 Jul, Evening shiftMathematicsHardIntegral Calculus369× since 2002

For

I(x)=\int \frac{\sec ^{2} x-2022}{\sin ^{2022} x} d x

, if

I\left(\frac{\pi}{4}\right)=2^{1011}

, then

JEE Main 2022 · 29 Jul, Evening shift · Q3995

JEE Main 202229 Jul, Evening shiftMathematicsHardIntegral Calculus369× since 2002

For

I(x)=\int \frac{\sec ^{2} x-2022}{\sin ^{2022} x} d x

, if

I\left(\frac{\pi}{4}\right)=2^{1011}

, then