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

`I = int (x + x^(2/3) + x^(1/6))/(x (1+x^(1/3))) dx` is equal

A

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

B

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

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
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  12. If int sinx/sin(x-alpha) dx = Ax + B log sin(x - alpha) + c

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  13. If int (4e^x + 6e^-x)/(9e^x - 4e^-x) dx = Ax + B loge(9e^(2x) - 4) + c...

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