Home
Class 12
MATHS
If int(xe^(x))/(sqrt(1+e^(x)))dx=f(x)sqr...

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

A

`f(x) = x - 2, g(x) = (sqrt(1-e^(x))-1)/(sqrt(1+e^(x)) + 1)`

B

`12(((1+root(4)(x))^(7//3))/(7)-((1+root(4)(x))^(4//3))/(4))+c`

C

`6(((1+root(4)(x))^(7//3))/(7)-((1+root(4)(x))^(4//3))/(4))+c`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

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

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

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

int_(, then )^( If )(xe^(x))/(sqrt(1+e^(x)))dx=f(x)sqrt(1+e^(x))-2log g(x)+c

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

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

inte^(2x)/(4sqrt(e^x+1))dx

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