JEE MAIN - Mathematics Hindi (2022 - 29th July Evening Shift - No. 6)
$$I(x)=\int \frac{\sec ^{2} x-2022}{\sin ^{2022} x} d x$$ के लिए, यदि $$I\left(\frac{\pi}{4}\right)=2^{1011}$$ है, तो
$$3^{1010} I\left(\frac{\pi}{3}\right)-I\left(\frac{\pi}{6}\right)=0$$
$$3^{1010} I\left(\frac{\pi}{6}\right)-I\left(\frac{\pi}{3}\right)=0$$
$$3^{1011}I\left(\frac{\pi}{3}\right)-I\left(\frac{\pi}{6}\right)=0$$
$$3^{1011} I\left(\frac{\pi}{6}\right)-I\left(\frac{\pi}{3}\right)=0$$
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