Home
Class 12
MATHS
int (1)/(sqrt(x)+x)dx=...

`int (1)/(sqrt(x)+x)dx=`

A

`log (x+sqrt(x))+c`

B

`log (1+sqrt(x))+c`

C

`2log (x+sqrt(x))+c`

D

`2log (1+sqrt(x))+c`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|132 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|109 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4)|4 Videos

  • HYPERBOLIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 {SPECIAL TYPE QUESTIONS} SET - 4|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

Similar Questions

Explore conceptually related problems

Evalute the following integrals int (1)/(x sqrt(x)) dx

Evaluate the following integrals. int(1)/((x+2)sqrt(x))dx

Knowledge Check

  • int (1)/(sqrt(x)(1+x))dx=

    A
    `2 Tan^(-1)(sqrt(x))+c`
    B
    `Tan^(-1)(sqrt(x))+c`
    C
    `Tan^(-1)(sqrt(x))+c`
    D
    none

  • int (x^3)/(sqrt(1+x))dx=

    A
    `sqrt(1+x^2)-(x)/(3)(1+x^2)^(3//2)+c`
    B
    `xsqrt(1+x^2)+(2)/(3)(1+x^2)^(3//2)+c`
    C
    `x^2sqrt(1+x^2)-(2)/(3)(1+x^2)^(3//2)+c`
    D
    `x^2sqrt(1+x^2)-(1)/(3)(1+x^2)^(1//2)+c`.

  • int (1)/(sqrt(x)(x + 9)) dx =

    A
    `(2)/(3) tan^(-1)(sqrt(x))+ c `
    B
    `(2)/(3) tan^(-1) ((sqrt(x))/(3)) + c `
    C
    `3 tan^(-1) sqrt(x)+ c`
    D
    `tan^(-1) ((sqrt(x))/(3)) + c `

    • Similar Questions

    Explore conceptually related problems

    Find int (x)/(sqrt(1-x)) dx , x in I =(0,1) .

    Evalute the following integrals int (x)/(sqrt(1- x)) dx, x in I = (0,1)

    Evaluate the following integrals. int(1)/(sqrt(1+x-x^2))dx

    If int (1)/(sqrt(x^(2) + x+ 1)) dx = a sinh^(-1) (bx + c ) + d then descending order of a, b,c is

    int (1)/(sqrt(1+x^(4)))dx=

    Home
    Profile