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

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

A

`log(x^(2)+1)-log(x^(2)+4)+c`

B

`tan^(-1)x-(1)/(2)tan^(-1)((x)/(2))+c`

C

`2tan^(-1)x-tan^(-1)((x)/(2))+c`

D

`(1)/(2)tan^(-1)((x)/(2))-tan^(-1)x+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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  • int ((2x^(e)+ 3)dx)/((x^(2) -1)(x^(2) + 4)) = k log ((x+1)/(x-1)) +k (tan^(-) ((x)/(2))) , then k equals :

    A
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    B
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    A
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    B
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    C
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    D
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