Home
Class 12
MATHS
intsqrt(x)e^(sqrt(x))dx=...

`intsqrt(x)e^(sqrt(x))dx=`

A

`2sqrt(x)-e^(sqrt(x))-4sqrt(x)-e^(sqrt(x))+c`

B

`(2x-4sqrt(x)+4)e^(sqrt(x)+c`

C

`(2x+4sqrt(x)+4)e^(sqrt(x))+c`

D

`(1-4sqrt(x))e^(sqrt(x))+c`

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTEGRATION

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|165 Videos

  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos

  • LINE

    TARGET PUBLICATION|Exercise Evaluation Test|1 Videos

Similar Questions

Explore conceptually related problems

int e^sqrt(x)/sqrt(x)dx

intsqrt(x)/sqrt(a^2-x^3)dx

Knowledge Check

  • The integral intsqrt(cotx)e^(sqrt(sinx))sqrt(cosx)dx equals

    A
    `(sqrt(tanx)e^(sqrt(sinx)))/(sqrt(cosx))+C`
    B
    `2e^(sqrt(sinx))+C`
    C
    `-(1)/(2)e^(sqrtsinx)+C`
    D
    `(sqrt(cotx)e^(sqrt(sinx)))/(2sqrt(cosx))+C`

  • int(e^(sqrt(x))cos(e^(sqrt(x))))/(sqrt(x))dx=?

    A
    `sin(e^(sqrt(x)))+C`
    B
    `(1)/(2)sin(e^(sqrt(x)))+C`
    C
    `2sin(e^(sqrt(x)))+C`
    D
    none of these

    • Similar Questions

    Explore conceptually related problems

    Integrate the following intsqrt(x+sqrt(x^2+a^2))dx

    =int(e^(sqrt(x)))/(sqrt(x))dx

    int(e^(sqrt(x)))/(sqrt(x))dx

    Integration of a binomial differential I=intsqrt(x)(2+sqrt(x))^(2)dx.

    Evaluate : intsqrt(xsqrt(x^(2)+2)) dx

    intsqrt(1+x)dx

    Home
    Profile