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intsqrt(x^(2)-16)dx=?...

`intsqrt(x^(2)-16)dx=?`

A

`xsqrt(x^(2)-16)-4 log |x+sqrt(x^(2)-16)|+C`

B

`(x)/(2) sqrt(x^(2)-16)-8 log |x+sqrt(x^(2)-16)|+C`

C

`(x)/(2) sqrt(x^(2)-16)+8 log |x+sqrt(x^(2)-16)|+C`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`int sqrt(x^(2)-16)dx=int sqrt(x^(2)-4^(2))dx =(x)/(2)sqrt(x^(2)-4^(2))-(16)/(2) log |x+sqrt(x^(2)-16)|+C`
`=(x)/(2)sqrt(x^(2)-16)-8. log |x+sqrt(x^(2)-16)|+C.`
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