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int(xcosx+1)/(sqrt(2x^(3)e^(sinx)+x^(2))...

`int(xcosx+1)/(sqrt(2x^(3)e^(sinx)+x^(2)))dx`

A

`log|(sqrt(2x e^(sinx)+1)-1)/(sqrt(2x e^(sinx)+1)+1))+C`

B

`log|(sqrt(2 x e^(sinx)-1)+1)/(sqrt(2 x e^(sinx)+1)+1)|+C`

C

`log|(sqrt(2x e^(sinx)+1)+1)/(sqrt(2x e^(sinx)-1)+1)}+C`

D

`log|(sqrt(2x e^(sinx)+1)+1)/(sqrt(2 x e^(sinx)-1)-1)|+C`

Text Solution

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The correct Answer is:
A
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