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

`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)-3sqrt(2) log x+4+sqrt(x^(2)-8x+7)|+c`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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