Mister Exam

Other calculators

x^2e^2
Solving integrals/ x^2e^2

Integral of x^2e^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1         
  /         
 |          
 |   2  2   
 |  x *E  dx
 |          
/           
0
$$\int\limits_{0}^{1} e^{2} x^{2}\, dx$$ 
Integral(x^2*E^2, (x, 0, 1))
Detail solution

  1. The integral of a constant times a function is the constant times the integral of the function:

    1. The integral of is when :

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                    
 |                 3  2
 |  2  2          x *e 
 | x *E  dx = C + -----
 |                  3  
/
$$\int e^{2} x^{2}\, dx = C + \frac{x^{3} e^{2}}{3}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
 2
e 
--
3
$$\frac{e^{2}}{3}$$ 
=
= 
 2
e 
--
3
$$\frac{e^{2}}{3}$$ 
exp(2)/3
Numerical answer [src] 
2.46301869964355
2.46301869964355
The graph
Integral of x^2e^2 dx

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

    © Mister Exam – Calculator