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int (cos sqrt(x))/(sqrtx) dx...

`int (cos sqrt(x))/(sqrtx) dx`

Text Solution

Verified by Experts

The correct Answer is:
`2 sin sqrt(x) + C`
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Knowledge Check

  • int(e^(sqrt(x)))/(sqrt(x)) dx =

    A
    `e^(sqrt(x))`
    B
    `(e^(sqrt(x)))/(2)`
    C
    `2e^(sqrt(x))`
    D
    `sqrt(x) e^(sqrt(x))`
  • Let I = int_0^1 (sin x)/(sqrtx) dx and J = int_0^1 (cos x)/(sqrtx) dx . Then which of the following is true?

    A
    `I gt 2/3 and J lt 2`
    B
    `I gt 2/3 and J gt 2`
    C
    `I lt 2/3 and J lt 2`
    D
    `I lt 2/3 and J gt 2`
  • int cos sqrtx dx =

    A
    `sqrtx. Sinsqrtx`
    B
    `2[sqrtx sin sqrt x + cos sqrtx]`
    C
    `2[x sin sqrt x + cos sqrtx]`
    D
    `(x sin sqrtx)/2`
  • Similar Questions

    Explore conceptually related problems

    int (e^(sqrtx).cose^(sqrtx))/(sqrtx)dx =

    int(e^(sqrtx))/sqrtx dx=

    int(a^(sqrtx))/(2sqrt(x))dx is :

    int_1^(3) (sqrt(4-x))/(sqrtx + sqrt(4-x)) dx =

    If I= int_0^(1) (sinx0/(sqrtx) dx and J = int_0^(1) (cosx)/(sqrtx) dx , then which one of the following is true?