Mister Exam

Other calculators

Solving integrals/ e^(2x)*x^(2)dx

Integral of e^(2x)*x^(2)dx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |   2*x  2   
 |  E   *x  dx
 |            
/             
0
$$\int\limits_{0}^{1} e^{2 x} x^{2}\, dx$$ 
Integral(E^(2*x)*x^2, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                      
 |                  /             2\  2*x
 |  2*x  2          \1 - 2*x + 2*x /*e   
 | E   *x  dx = C + ---------------------
 |                            4          
/
$$\int e^{2 x} x^{2}\, dx = C + \frac{\left(2 x^{2} - 2 x + 1\right) e^{2 x}}{4}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
       2
  1   e 
- - + --
  4   4
$$- \frac{1}{4} + \frac{e^{2}}{4}$$ 
=
= 
       2
  1   e 
- - + --
  4   4
$$- \frac{1}{4} + \frac{e^{2}}{4}$$ 
-1/4 + exp(2)/4
Numerical answer [src] 
1.59726402473266
1.59726402473266

    Use the examples entering the upper and lower limits of integration.

    © Mister Exam – Calculator