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Let J=int (-1) ^(2) (cot ^(-1) ""(1)/(x ...

Let `J=int _(-1) ^(2) (cot ^(-1) ""(1)/(x )+ cot ^(-1) x ) dx, K =int _(-2pi) ^(7pi) (sin x)/(|sin x|)dx.` Then which of the following alternative (s) is/are correct ?

A

`2J+3K=8pi`

B

`4J ^(2) +K ^(2) =26pi^(2)`

C

`2J =K=3pi`

D

`(J)/(K) =2/5`

Text Solution

Verified by Experts

The correct Answer is:
A, B
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