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The value of integral int1/[(x-3)^(3)(...

The value of integral
`int1/[(x-3)^(3)(x+2)^(5)]^(1//4)dx` is

A

`4/3(x-1)/(x+2)^(1//4)` dx is equal to

B

`sqrt(x)sqrt(1-x)-2sqrt(1-x)+cos^(-1)(sqrt(x))+C`

C

`sqrt(x)sqrt(1-x)+2sqrt(1-x)+cos^(-)(sqrt(x))+C`

D

`sqrt(x)sqrt(1-x)-2sqrt(1-x)-cos^(-1)sqrt(x)+C`

Text Solution

Verified by Experts

The correct Answer is:
a
`sqrt(x)sqrt(1-x)+2sqrt(1-x)-cos^(-1)sqrt(x)+C`
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Knowledge Check

  • 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

  • The value of integral int_(-1)^(1)(|x+2|)/(x+2) dx is

    A
    1
    B
    2
    C
    0
    D
    `-1`

  • The value of integral int_(-1)^(1) (|x+2|)/(x+2)dx is

    A
    1
    B
    2
    C
    0
    D
    `-1`

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