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Integrate int sqrt(x^2-8x+7) dx...

Integrate `int sqrt(x^2-8x+7) dx`

A

`1/2 (x-4) sqrt(x^2-8x+7) + 9log|x-4+ sqrt(x^2-8x+7)|+c`

B

`1/2 (x+4) sqrt(x^2-8x+7) + 9log|x-4+ sqrt(x^2-8x+7)|+c`

C

`1/2 (x-4) sqrt(x^2-8x+7) - 3sqrt2log|x-4+ sqrt(x^2-8x+7)|+c`

D

`1/2 (x-4) sqrt(x^2-8x+7) - 9/2log|x-4+ sqrt(x^2-8x+7)|+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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