JEE MAIN - Mathematics Bengali (2022 - 29th July Evening Shift - No. 6)

$$I(x) = \int {{{{{\sec }^2}x - 2022} \over {{{\sin }^{2022}}x}}dx} $$ এর জন্য যদি $$I\left( {{\pi \over 4}} \right) = {2^{1011}}$$ , তবে
$${3^{1010}}I\left( {{\pi \over 3}} \right) - I\left( {{\pi \over 6}} \right) = 0$$
$${3^{1010}}I\left( {{\pi \over 6}} \right) - I\left( {{\pi \over 3}} \right) = 0$$
$${3^{1011}}I\left( {{\pi \over 3}} \right) - I\left( {{\pi \over 6}} \right) = 0$$
$${3^{1011}}I\left( {{\pi \over 6}} \right) - I\left( {{\pi \over 3}} \right) = 0$$

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