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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1
If In=∫0π/4tan⁡nxdxI_n=\int_0^{\pi / 4} \tan ^n x d x, then 1I2+I4,1I3+I5,1I4+I6,…\frac{1}{I_2+I_4}, \frac{1}{I_3+I_5}, \frac{1}{I_4+I_6}, \ldots. Form
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Correct option: A
an A.P.
Option A (an A.P.) is correct because the reciprocals of the given expression form an arithmetic progression with a common difference of 1.

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