The valueof int((pi)/(6))^((pi)/(3))e^(s...

The valueof `int_((pi)/(6))^((pi)/(3))e^(sec^(2)x)(sinx)/(cos^(3)x)dx` is equal to

A

`(1)/(2)e^(4)`

B

`(1)/(2)e^((4)/(3))`

C

`(1)/(2)(e^(4/3)-e^(4))`

D

`(1)/(2)(e^(2)-1)`

Verified by Experts

The correct Answer is:

C

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