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Evaluate for, m in N, int(x^(3m)+x^(...

Evaluate for, ` m in N, `
`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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