JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

Let

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

. Then

View answer and explanation

Correct option: A

{I}_1={I}_3+2 {I}_5

The correct answer is A (

{I}_1={I}_3+2 {I}_5

) because it represents the correct recurrence relation between the given integrals, derived through integration by parts or reduction formula.

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