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Choose the correct answer : The anti der...

Choose the correct answer : The anti derivative of `(sqrtx + (1/sqrtx))` equals.

Text Solution

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The correct Answer is:
`1/3x^(1/3)+2x^(1/2)+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`

  • The anti-derivative of cos 3x is equal to :

    A
    3 sin 3 x
    B
    `1/3sin3x`
    C
    0
    D
    None of these

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    Anti derivative of e^(2x) is equal to

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