The following integral _ 4 ^ 2 (2 , cosec ,x)^ 17 ,dx is equal to

JEE Advanced 2014 Mathematics question

The following integral

(2 cosec dx

is equal to

Answer: (A)

Put . Since , , so . Differentiating, $ du = -cosec x(cosec x + x)dx ⇒ du =

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Question ID VK-026345