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Evaluate : int (1)/(4+5 sin x)dx...

Evaluate : `int (1)/(4+5 sin x)dx`

A

`(2 tan (x//2) + 1)/(2 tan (x//2) + 4)`

B

`"log" ((2 tan (x//2) + 1)/(tan (x//2) + 4))`

C

`1/3 "log tan " x/2 + 5x`

D

`1/3 "log" [(2 tan (x//2) + 1)/(2 tan (x//2) + 4)]`

Text Solution

Verified by Experts

The correct Answer is:
D
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