If $I_n=\int_\limits 0^{\pi / 4} \tan ^n x \, d x, n \in N$, then $I_{n+2}+I_n$ equals

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Analyzing +4 | -1

I_n=\int\limits_{0}^{\pi / 4} \tan ^n x \, d x, n \in N

, then

I_{n+2}+I_n

equals

View answer and explanation

Correct option: C

\frac{1}{n+1}

Option C (

\frac{1}{n+1}

) is correct because the sum of the integrals can be simplified using trigonometric identities and then evaluated.

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