Home
Class 12
MATHS
intxln(x+sqrt(1+x^2))/(sqrt(1+x^2))dx e...

`intxln(x+sqrt(1+x^2))/(sqrt(1+x^2))dx` equals

A

`sqrt(1+x^(2))*l n(x+sqrt(1+x^(2)))-x+c`

B

`x/2*l n^(2)(x+sqrt(1+x^(2)))-x/sqrt(1+x^(2))+c`

C

`x/2*l n^(2)(x+sqrt(1+x^(2)))+x/sqrt(1+x^(2))+c`

D

`sqrt(1+x^(2))l n(x+sqrt(1+x^(2)))+x+c`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    MOTION|Exercise EXERCISE - 2 (LEVEL - I STANDARD INTEGRAL)|3 Videos

  • INDEFINITE INTEGRATION

    MOTION|Exercise EXERCISE - 2 (LEVEL - I INTEGRATION BY SUBSTITUTION)|3 Videos

  • INDEFINITE INTEGRATION

    MOTION|Exercise EXERCISE - 1 (SECTION - F SOME STANDARD SUBSTITUTIONS)|2 Videos

  • HYPERBOLA

    MOTION|Exercise EXERCISE-4 (Level-II)|17 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -4 Level -II|7 Videos

Similar Questions

Explore conceptually related problems

int x(ln(x+sqrt(1+x^(2))))/(sqrt(1+x^(2)))dx equals

int(x^(2)+5x-1)/(sqrt(x))dx equals

int({x+sqrt(x^(2)+1)})/(sqrt(x^(2)+1))dx is equal to

int(1)/(sqrt(9x-4x^(2)))dx is equal to

int(1)/((x-1)sqrt(x^(2)-1))dx equals

int(1)/(sqrt(8+2x-x^(2)))dx is equal to

int(x)/(sqrt(1+x^(2)+sqrt(1+x^(2))^(3)))dx is equal to