🛠️ JEE➗ Maths

If \(I_n=\int_{\frac{\pi}{4}}^{\frac{\pi}{2}} \cot ^n x d x\), then: [JEE Main 2021, 25 Feb (Shift 2)]

If \(I_n=\int_{\frac{\pi}{4}}^{\frac{\pi}{2}} \cot ^n x d x\), then:

[JEE Main 2021, 25 Feb (Shift 2)]

\(\frac{1}{I_2+I_4}, \frac{1}{I_3+I_5}, \frac{1}{I_4+I_6}\) are in G.P.

\(\frac{1}{I_2+I_4}, \frac{1}{I_3+I_5}, \frac{1}{I_4+I_6}\) are in A.P.

\(I_2+I_4, I_3+I_5, I_4+I_6\) are in A.P.

\(I_2+I_4, 2\left(I_3+I_5\right), I_4+I_6\) are in G.P.

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