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

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:

B

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