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intsqrt(x^(2)-8x+7)dx=...

`intsqrt(x^(2)-8x+7)dx=`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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