`"The integral " int(dx)/(x^(2)(x^(4)+1)^(3//4))" equals"`A. `((x^(4)+1)/(x^(4)))^(1//4)+c`B. `(x^(4)+1)^(1//4)+c`C. `-(x^(4)+1)^(1//4)+c`D. `-((x^(4)+1)/(x^(4)))^(1//4)+c`

`"The integral " int(dx)/(x^(2)(x^(4)+1)^(3//4))" equals"`A. `((x^(4)+

1.	`"The integral " int(dx)/(x^(2)(x^(4)+1)^(3//4))" equals"`A. `((x^(4)+1)/(x^(4)))^(1//4)+c`B. `(x^(4)+1)^(1//4)+c`C. `-(x^(4)+1)^(1//4)+c`D. `-((x^(4)+1)/(x^(4)))^(1//4)+c`
Answer» Correct Answer - D ` I=int(dx)/(x^(2)(x^(4)+1)^(3//4))` ` int(dx)/(x^(5)(1+(1)/(x^(4)))^(3//4))` `"Let "1+(1)/(x^(4))=t^(4)` `implies (-4)/(x^(5))dx=4t^(3)dt " or " (dx)/(x^(5))=-t^(3)dt` ` :. I=int(-t^(3)dt)/(t^(3))=-t+c=-(1+(1)/(x^(4)))^(1//4)+c`

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