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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1
If In=∫0π/4tan⁡nθ dθI_n=\int\limits_{0}^{\pi / 4} \tan ^n \theta \,d \theta, then I8+I6I_8+I_6 equals
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Correct option: D
17\frac{1}{7}
Option D (17\frac{1}{7}) is correct because the sum of the integrals simplifies to a single integral that can be easily evaluated.

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