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int(x-5)sqrt(x^2-1)dx=...

`int(x-5)sqrt(x^2-1)dx=`

A

`(1)/(3)sqrt((x^2-1)^3)-(5x)/(2)sqrt(x^2-1)+(5)/(2)log|x+sqrt(x^2-1)|+c`

B

`(1)/(3)sqrt((x^2-1)^3)+(5x)/(2)sqrt(x^2-1)-(5)/(2)log|x+sqrt(x^2-1)|+c`

C

`(1)/(3)sqrt((x^2-1)^3)-(5x)/(2)sqrt(x^2-1)-(5)/(2)log|x+sqrt(x^2-1)|+c`

D

`(1)/(3)sqrt((x^2-1)^3)+(5x)/(2)sqrt(x^2-1)+(5)/(2)log|x+sqrt(x^2-1)|+c`

Text Solution

Verified by Experts

The correct Answer is:
A
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