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int(dx)/((x^(2)+4x+5)^(2)) का मान है-...

`int(dx)/((x^(2)+4x+5)^(2))` का मान है-

A

`(1)/(2)[tan^(-1)(x+1)+(x+2)/(x^(2)+4x+5)]+c`

B

`(1)/(2)[tan^(-1)(x+2)-(x+2)/(x^(2)+4x+5)]+c`

C

`(1)/(2)[tan^(-1)(x+1)-(x+2)/(x^(2)+4x+5)]+c`

D

`(1)/(2)[tan^(-1)(x+2)+(x+2)/(x^(2)+4x+5)]+c`

लिखित उत्तर

Verified by Experts

The correct Answer is:
D
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