JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

I_n \int_{-\pi}^\pi \frac{\sin n x}{\left(1+\pi^x\right) \sin x} d x, n=0,1,2, \ldots

then which one of the following is not true?

View answer and explanation

Correct option: D

I_n=I_{n+1}

Option D (

I_n=I_{n+1}

) is not true because

I_n

depends on whether n is even or odd, and

I_n = I_{n+2}

, not

I_{n+1}

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