Home
Class 12
MATHS
int(x^2e^x)/((x+2)^2)dx is equal to...

`int(x^2e^x)/((x+2)^2)dx` is equal to

A

`((x-1)/(x+2))e^x+c`

B

`((x-2)/(x+2))e^(x-1)+c`

C

`((x-2)/(x+2))e^x+c`

D

`((x+1)/(x-2))e^x+c`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    PATHFINDER|Exercise QUESTION BANK|39 Videos

  • MATRICES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

int((x+2)/(x+4))^2 e^xdx is equal to

Column I, a) int(e^(2x)-1)/(e^(2x)+1)dx is equal to b) int1/((e^x+e^(-x))^2)dx is equal to c) int(e^(-x))/(1+e^x)dx is equal to d) int1/(sqrt(1-e^(2x)))dx is equal to COLUMN II p) x-log[1+sqrt(1-e^(2x)]+c q) log(e^x+1)-x-e^(-x)+c r) log(e^(2x)+1)-x+c s) -1/(2(e^(2x)+1))+c

Knowledge Check

  • inte^x(tan^-1x+(2x)/((1+x^2)^2))dx is equal to

    A
    `e^x(tan^-1x-1/(1+x^2)^2)+c`
    B
    `e^x(tan^-1x+1/(1+x^2)^2)+c`
    C
    `e^x(cot^-1x+1/(1+x^2)^2)+c`
    D
    `e^x(cot^-1x-1/x)+c`

  • int (x^(2)+1)/(x) dx is equal to -

    A
    ` 1/2 x^(2) = log |x| + c `
    B
    ` log x + 1/2 x^(2)+c`
    C
    ` x + log | x | + c `
    D
    `x^(2) + log |x|+c`

  • The value of int (x dx)/(x^(2)+4x+5) is equal to -

    A
    `(1)/(2) log|x^(2)+4x+5|+2 tan^(-1)x+c`
    B
    `(1)/(2)log|x^(2)+4x+5|-tan^(-1)(x+2)+c`
    C
    `(1)/(2)log|x^(2)+4x+5|+tan^(-1)(x+2)+c`
    D
    `(1)/(2)log|x^(2)+4x+5|-2tan^(-1)(x+2)+c`

    • Similar Questions

    Explore conceptually related problems

    int(e^(2x))/(e^(x)+1)dx

    int e^(sin^(-1)x)((log_(e)x)/(sqrt(1-x^(2)))+(1)/(x))dx is equal to

    The value of int_(-pi/2)^(pi/2) (x^2cosx)/(1+e^x) dx is equal to

    (inte^(x^4)(x+x^3+2x^5)e^(x^2) dx) is equal to (a) 1/2x e^(x^2)e^(x^4)+c (b) 1/2x^2e^(x^4)+c (c) 1/2e^(x^2)e^(x^4)+c (d) 1/2x^2e^(x^2)e^x^4+c

    int(dx)/(x+sqrt(a^2-x^2)) is equal to

    Home
    Profile