∫ π /4 π /2 cosec 2 x d x =, -1, 1, 0, 2 1

∫ π /4 π /2 cosec 2 x d x = [ − cot x ] π /4 π /2 = − [ cot 2 π − cot 4 π ] = 1

∫ π /4 π /2 cosec 2 x d x =

Question: Answered & Verified by Expert

$\int_{\pi / 4}^{\pi / 2} \operatorname{cosec}^2 x d x =$

MathematicsDefinite IntegrationJEE Main

Options:

Solution:

2550 Upvotes Verified Answer

The correct answer is: 1

$\int_{\pi / 4}^{\pi / 2} \operatorname{cosec}^2 x d x=[-\cot x]_{\pi / 4}^{\pi / 2}=-\left[\cot \frac{\pi}{2}-\cot \frac{\pi}{4}\right]=1$

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