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The value of the integral int(1//3)^(1) ...

The value of the integral `int_(1//3)^(1) ((x - x^3)^(1/3))/(x^4) dx` is

A

6

B

0

C

3

D

4

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Knowledge Check

  • The value of the integral int_0^1 sqrt((1 - x)/(1 + x))dx is :

    A
    `pi/2 + 1`
    B
    `pi/2 - 1`
    C
    `-1`
    D
    `1`

  • The value of the integral I = int_0^1 x (1 - x)^(n) dx is :

    A
    `1/(n + 2)`
    B
    `1/(n + 1) - 1/(n + 2)`
    C
    `1/(n + 1) + 1/(n + 2)`
    D
    `1/(n + 1)`

  • The value of the integral int_0^(oo) log(x+1/x) (dx)/(x^2 +1) is

    A
    `pi log 2`
    B
    `2 log pi`
    C
    `4 log pi`
    D
    `pi^2 log 13`

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    The integral int_(-1//2)^(1//2) ([x] + l_n ((1 + x)/(1 - x)))dx equals :

    int_(0)^(1) x (1-x)^(3//2) dx=

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