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Evaluate: int(3x-2)\ sqrt(x^2+x+1)\ dx...

Evaluate: `int(3x-2)\ sqrt(x^2+x+1)\ dx`

A

`sqrt((x^2+x+1)^3)-(7)/(8)(2x+1)sqrt(x^2+x+1)+(21)/(16)log|x+(1)/(2)+sqrt(x^2+x+1)|c`

B

`sqrt((x^2+x+1)^3)-(7)/(8)(2x+1)sqrt(x^2+x+1)-(21)/(16)log|x+(1)/(2)+sqrt(x^2+x+1)|c`

C

`sqrt((x^2+x+1)^3)-(7)/(8)(2x+1)sqrt(x^2+x+1)+(21)/(8)log|x+(1)/(2)+sqrt(x^2+x+1)|c`

D

`sqrt((x^2+x+1)^3)-(7)/(8)(2x+1)sqrt(x^2+x+1)-(21)/(8)log|x+(1)/(2)+sqrt(x^2+x+1)|c`

Text Solution

Verified by Experts

The correct Answer is:
B
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