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The integral int(dx)/((x+4)^(8//7)(x-3)^...

The integral `int(dx)/((x+4)^(8//7)(x-3)^(6//7))` is equal to : (where C is constant of integration)

A

`-((x-3)/(x+4))^(-1//7)+C`

B

`1/2((x-3)/(x+4))^(3//7)+C`

C

`((x-3)/(x+4))^(1//7)+C`

D

`-1/13((x-3)/(x+4))^(-13//7)+C`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The integral int(1)/((1+sqrt(x))sqrt(x-x^(2)))dx is equal to (where C is the constant of integration)

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

  • int(dx)/(1+e^(-x)) is equal to : Where c is the constant of integration.

    A
    `1+e^(x)+c`
    B
    `ln(1+e^(-x))+c`
    C
    `ln(1+e^(x))+c`
    D
    `2ln(1+e^(-x))+c`

  • The integral int sec^(2//3) "x cosec"^(4//3)"x dx" is equal to (here C is a constant of integration)

    A
    `3tan^(-1//3)x+C`
    B
    `-3tan^(-1//3)x+C`
    C
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    D
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