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For any natural number m, evaulate, int...

For any natural number m, evaulate, `int(x^(3m)+x^(2m)+x^(m))(2x^(2m)+3x^m+6)^(1//m)dx, x gt0`

A

`(x^(2)-1)/(x^(3)sqrt(2x^(4)-2x^(2)+1)+C`

B

`sqrt(2x^(4)-2x^(2)+1)/(x^(3))`

C

`sqrt(2x^(4)-2x^(2)+1)/(x)+C`

D

`sqrt(2x^(4)-2x^(2)+1)/(2x^(2))+C`

Text Solution

Verified by Experts

`(2x^(3m)+3x^(2m)+6x^(m))^((m+1)/(m))/(6(m+1))+C`
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