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int(x+x^(2/3)+x^(1/6))/(x(1+x^(1/3)))dx ...

`int(x+x^(2/3)+x^(1/6))/(x(1+x^(1/3)))dx` equals a)`(3x^(2/3))/(4)+6tan^(-1)(x^(1/6))+C` b)`(3x^(2/3))/(2)+6tan^(-1)(x^(1/6))+C` c)`(3x^(2/3))/(10)+6tan^(-1)(x^(1/6))+C`d)`(3x^(2/3))/(5)+6tan^(-1)(x^(1/6))+C`

A

`(3x^(2/3))/(4)+6tan^(-1)(x^(1/6))+C`

B

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

C

`(3x^(2/3))/(10)+6tan^(-1)(x^(1/6))+C`

D

`(3x^(2/3))/(5)+6tan^(-1)(x^(1/6))+C`

Text Solution

Verified by Experts

The correct Answer is:
B
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