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int x^(2)sqrt(x^(6)-1)dx=...

`int x^(2)sqrt(x^(6)-1)dx=`

A

`(1)/(6) { x^(2) sqrt(x^(6) -1) - log (x^(3) + sqrt(x^(6) - 1) ) } + c `

B

`(1)/(6) { x^(2) sqrt(x^(6) -1) + log (x^(3) + sqrt(x^(6) - 1) ) } + c `

C

`(1)/(6) { x^(3) sqrt(x^(6)- 1) - sin^(-1) (x^(3)) } + c`

D

`(1)/(6) { x^(3) sqrt(x^(6) -1) + " sinh"^(-1) (x^(3)) } + c `

Text Solution

Verified by Experts

The correct Answer is:
A
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