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int (3^(x))/(sqrt(16 + 9^(x))) dx =...

`int (3^(x))/(sqrt(16 + 9^(x))) ` dx =

A

`(1)/(log 3) sin^(-1) ((3^(x))/(4)) + C `

B

`(1)/(log 3) cosh^(-1) ((3^(x))/(4)) + C `

C

`- (1)/(log 3) sinh^(-1) ((3^(x))/(4)) + C `

D

`(1)/(log 3) sinh^(-1) ((3^(x))/(4)) + C `

Text Solution

Verified by Experts

The correct Answer is:
D
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