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int 1/(x^(2/3) sqrt(x^(2/3)-4)) dx=...

`int 1/(x^(2/3) sqrt(x^(2/3)-4)) dx=`

A

`-3log|root3x+sqrt(root3(x^2)-4)|+c`

B

`3log|root3x+sqrt(root3(x^2)-4)|+c`

C

`(-1)/(3)log|root3x+sqrt(root3(x^2)-4)|+c`

D

`(1)/(3)log|root3x+sqrt(root3(x^2)-4)|+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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