int(1)/((2x+3)^(2)(4x+5))dx=...

`int(1)/((2x+3)^(2)(4x+5))dx=`

A

`(1)/(2(2x+3))+(1)/(3)log((4x+5)/(2x+3))+c`

B

`(1)/(2)[(1)/(2x+3)-log((4x+4)/(2x+3))]+c`

C

`(1)/(2)[(1)/(2x+3)+log((4x+5)/(2x+3))]+c`

D

`(1)/(2(2x+3))+log((4x+5)/(2x+3))+c`

Text Solution

Verified by Experts

The correct Answer is:

D

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