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

`int(e^x+1)^2\ e^x\ dx`

Text Solution

AI Generated Solution

To solve the integral \( \int (e^x + 1)^2 e^x \, dx \), we will follow these steps: ### Step 1: Expand the integrand First, we expand the expression \( (e^x + 1)^2 \): \[ (e^x + 1)^2 = e^{2x} + 2e^x + 1 \] Thus, the integral becomes: ...
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

(i) int e^x sec^2 (e^x) dx (ii) int e^x cosec^2 (e^x) dx

int(x+1)^(2)e^(x)dx

(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^(2x)+1)/(e^(x))dx

Given int_(1)^(2) e^(x^(2))dx=a , the value of int_(e )^(e^(4)) sqrt(log_(e )x)dx , is

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

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

int(e^(4x)-1)/(e^(2x))dx

int(e^(5x)-1)/(e^(2x))dx

Evaluate: int(e^(x))/(1+e^(2x))dx