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int 1/(x^(2)(x^(4)+1)^(3//4)) dx is equ...

`int 1/(x^(2)(x^(4)+1)^(3//4)) dx` is equal to ___________.

A

`(1+(1)/(x^4))^(1//4)+c`

B

`(x^(4)+1)^(1//4)+c`

C

`(1-(1)/(x^4))^(1//4)+c`

D

`-(1+(1)/(x^4))^(1//4)+c`.

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • int_0^1 (dx)/((x^2 +1)^(3//2))dx is equal to :

    A
    `1/2`
    B
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    C
    `1`
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  • int x^(3)/(x+1) dx is equal to

    A
    `x+ x^(2)/2+ x^(3)/3 - log (1-x)+c`
    B
    `x+ x^(2)/2- x^(3)/3 + log (1-x)+c`
    C
    `x- x^(2)/2- x^(3)/3 - log (1+x)+c`
    D
    `x- x^(2)/2+ x^(3)/3 - log (1+x)+c`
  • int (x-1)e^(-x) dx is equal to :

    A
    `xe^(-x)+c`
    B
    `-xe^(-x)+c`
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    `xe^(x)+c`
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