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Evaluate: int(x-5)\ sqrt(x^2+x)\ dx...

Evaluate: `int(x-5)\ sqrt(x^2+x)\ dx`

A

`(1)/(3)sqrt((x^2+x)^3)+(11)/(8)(2x+1)sqrt(x^2+x)+(11)/(16)log|(2x+1)/(2)+sqrt(x^2+x)|c`

B

`(1)/(3)sqrt((x^2+x)^3)-(11)/(8)(2x+1)sqrt(x^2+x)+(11)/(16)log|(2x+1)/(2)+sqrt(x^2+x)|c`

C

`(1)/(3)sqrt((x^2+x)^3)+(11)/(8)(2x+1)sqrt(x^2+x)-(11)/(16)log|(2x+1)/(2)+sqrt(x^2+x)|c`

D

`(1)/(3)sqrt((x^2+x)^3)-(11)/(8)(2x+1)sqrt(x^2+x)-(11)/(16)log|(2x+1)/(2)+sqrt(x^2+x)|c`

Text Solution

Verified by Experts

The correct Answer is:
B
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