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The antiderivative of (sqrt(x)+1/x) equa...

The antiderivative of `(sqrt(x)+1/x)` equals

A

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

B

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

C

`2/3x^(3/2)+log|x|+C`

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The anti derivative of (sqrt(x) +(1)/(sqrt(x))) equals

    A
    `(1)/(3) x^(1//3) +2x^(1//2) +c`
    B
    `(2)/(3) x^(2//3) +(1)/(2) x^(2)+c`
    C
    `(2)/(3)x^(3//2) +2x^(1//2) +c`
    D
    `(3)/(2)x^(3//2) +(1)/(2) x^(1//2) +c`
  • The anti derivative of (sqrt(x) +(1)/(sqrt(x))) equals

    A
    `(1)/(3) x^(1//3) +2x^(1//2) +c`
    B
    `(2)/(3) x^(2//3) +(1)/(2) x^(2)+c`
    C
    `(2)/(3)x^(3//2) +2x^(1//2) +c`
    D
    `(3)/(2)x^(3//2) +(1)/(2) x^(1//2) +c`
  • int_(sqrt(x)dx equal to

    A
    `x^(3//2)`
    B
    `x^(2//3)+c`
    C
    `(2x^(3//2))/3`
    D
    `(2x^(3//2))/3+C`
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