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

`int(e^(x))/(sqrt(1+e^(x)))dx=?`

A

`2sqrt(1+e^(x))+C`

B

`(1)/(2)sqrt(1+e^(x))+C`

C

`(1)/(sqrt(1+e^(x)))+C`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Put `(1+e^(x))=t ande^(x)dx=dt`.
`:." "I=int(1)/(sqrt(t))dt=2sqrt(t)+C`.
Promotional Banner

Topper's Solved these Questions

  • METHODS OF INTEGRATION

    RS AGGARWAL|Exercise Exercise 13B|34 Videos

  • METHODS OF INTEGRATION

    RS AGGARWAL|Exercise Exercise 13C|87 Videos

  • METHODS OF INTEGRATION

    RS AGGARWAL|Exercise EXERCISE 13A SHORT ANSWER QUESTIONS|92 Videos

  • MATRICES

    RS AGGARWAL|Exercise Exercise 5F|21 Videos

  • PROBABILITY

    RS AGGARWAL|Exercise Exercise 29 B|2 Videos

Similar Questions

Explore conceptually related problems

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

int(e^(x))/(sqrt(e^(2x)-1))dx=

int(e^(x))/(sqrt(4+e^(2x)))dx

int(e^(x))/(sqrt(9-e^(2x)))dx

Evaluate int(e^(x))/(sqrt(1-e^(2x)))dx

If int(xe^(x))/(sqrt(1+e^(x)))dx=f(x)sqrt(1+e^(x))-2logg(x)+C , then

int(e^(5x))/(sqrt(e^(5x)+1))dx=

int(2e^(x))/(sqrt(4-e^(2x)))dx

" "int(e^(x))/(sqrt(4-e^(2x)))dx

int(e^(x)dx)/(sqrt(6-4e^(x)))