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For x ^ 2 ne n pi + 1, n in N ...

For ` x ^ 2 ne n pi + 1, n in N ` ( the set of natural numbers ), the integral ` int x sqrt ((2 sin (x ^ 2 - 1 ) - sin 2 (x ^ 2 - 1 ))/(2 sin ( x ^ 2 - 1 ) + sin2 (x ^ 2 - 1 ) )) dx ` is

A

`log|sec((x^(2)-1)/(2))|+c`

B

`log|sec((x^(2)-1)/(2))|+c`

C

`-log|tan((x^(2)-1)/(2))|+c`

D

`-log|cot((x^(2)-1)/(2))|+c`

Text Solution

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The correct Answer is:
A, B
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