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int (1-sqrt(x))/(1+(x)^(1/4))dx=...

`int (1-sqrt(x))/(1+(x)^(1/4))dx=`

A

`x-(4)/(5)x^(5//4)+c`

B

`x+(4)/(5)x^(5//4)+c`

C

`x-(2)/(5)x^(5//4)+c`

D

`x-(3)/(5)x^(5//4)+c`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • int (sqrt(x))/(1 + x) dx =

    A
    `sqrt(x) - tan^(-1) sqrt(x) + C `
    B
    `sqrt(x ) + tan^(-1) sqrt(x) + C `
    C
    `2 ( sqrt(x) + tan^(-1) sqrt(x) )+ C `
    D
    `2( sqrt(x) - tan^(-1) sqrt(x) ) + C `

  • int (1)/(sqrt(x)(1+x))dx=

    A
    `2 Tan^(-1)(sqrt(x))+c`
    B
    `Tan^(-1)(sqrt(x))+c`
    C
    `Tan^(-1)(sqrt(x))+c`
    D
    none

  • int (1)/(sqrt(x)+x)dx=

    A
    `log (x+sqrt(x))+c`
    B
    `log (1+sqrt(x))+c`
    C
    `2log (x+sqrt(x))+c`
    D
    `2log (1+sqrt(x))+c`

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    int[sqrt((1+x)/(1-x))]dx=

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