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intsqrt(x^(2)-6x+7) dx is equal to...

`intsqrt(x^(2)-6x+7)` dx is equal to

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)-3sqrt(2)log|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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