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Integrate with respect to x:sqrt(x+1)...

Integrate with respect to `x:sqrt(x+1)`

A

`(x+1)^(3//2)/(2)+C`

B

`(3(x+1)^(3//2))/(2)+C`

C

`((x+1)^(3//2))/(3)+C`

D

`(2(x+1)^(3//2))/(3)+C`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • Integrate with respect to x:1/sqrt(2x+1)

    A
    `sqrt(2x+1)+C`
    B
    `(2x+1)^(3//2)+C`
    C
    `-sqrt(2x+1)+C`
    D
    `1/(2x+1)^(3//2)+C`

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