JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

I_n=\int \cot ^n x\, d x

, then

I_0+I_1+2

\left(I_2+I_3+\ldots+I_8\right)+I_9+I_{10}

equals to (where

\left.u=\cot x\right)

View answer and explanation

Correct option: B

-\left(u+\frac{u^2}{2}+\ldots+\frac{u^9}{9}\right)

Option B (-(

u+\frac{u^2}{2}+\ldots+\frac{u^9}{9}

)) is correct because using the reduction formula for the integral of cot^n(x) and summing the series leads to this expression.

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