For \( I(x)=\int \frac{\sec ^{2} x-2022}{\sin ^{2022} x} d x \), if \( I\left(\frac{\pi}{4}\righ...
For \( I(x)=\int \frac{\sec ^{2} x-2022}{\sin ^{2022} x} d x \), if \( I\left(\frac{\pi}{4}\right)=2^{1011} \), then
(a) \( 3^{1010} I\left(\frac{\pi}{3}\right)-I\left(\frac{\pi}{6}\right)=0 \)
(b) \( 3^{1010} I\left(\frac{\pi}{6}\right)-I\left(\frac{\pi}{3}\right)=0 \)
(c) \( 3^{1011} I\left(\frac{\pi}{3}\right)-I\left(\frac{\pi}{6}\right)=0 \)
(d) \( 3^{1011} I\left(\frac{\pi}{6}\right)-I\left(\frac{\pi}{3}\right)=0 \)
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