Home
Class 12
MATHS
int(e^x+1)^2e^xdx...

`int(e^x+1)^2e^xdx`

Text Solution

Verified by Experts

`int(e^x+1)^2e^xdx`
Let,
`I=int(e^x+1)^2e^xdx`
Put, `(e^x+1)=t`
`e^xdx=dt`
Then,
`I=int t^2dt`
`I=(t^3)/3+c`
...
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos

  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|523 Videos

Similar Questions

Explore conceptually related problems

int (e^x-1)e^xdx

int_0^1 x^2e^xdx

int x e^xdx

Evaluate: int(2-x)/(1-x)^2e^xdx

int e^(x)cos^(2)xdx

int e^(x)cos^(2)xdx

Evaluate: int e^(x)sin^(2)xdx

Evaluate: int e^(x)cos^(2)xdx

(i) int (e^x dx)/(e^x (e^x-1)) (ii) int e^x/((1+e^x)(2+e^x)) dx (iii) int e^x/((e^x-1)^2(e^x+2)) dx

int e^(x)cos2xdx