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int(0)^((pi)/(2)) ( cos ^((5)/(3))x)/( c...

`int_(0)^((pi)/(2)) ( cos ^((5)/(3))x)/( cos^((5)/(3))x+ sin^((5)/(3))x)dx=`

A

`int_(0)^((pi)/(2)) ( cos ^((5)/(3))((pi)/(2)-x))/( cos^((5)/(3))((pi)/(2) -x)+ sin^((5)/(3))((pi)/(2)-x))dx=`

B

`(pi)/(2)`

C

`int_(0)^((pi)/(2))(sin^((5)/(3))x)/(cos^((5)/(3))x+sin^((5)/(3))x)dx`

D

`(pi)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
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