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int(dx)/(x^n (1 + x^n)^(1//n)) (n in N) ...

`int(dx)/(x^n (1 + x^n)^(1//n)) (n in N) = alpha (1 + 1/(x^3))^(beta) + C` then `alpha and beta` are roots of the quadratic

A

`6x^2 - x - 2 = 0`

B

`6x^2 + x - 2 = 0`

C

`6x^2 + x + 2 = 0`

D

`6x^2 - x + 2 = 0`

Text Solution

Verified by Experts

The correct Answer is:
A
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