Mister Exam

Other calculators

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

Integral of e^(2x)*x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |   2*x     
 |  E   *x dx
 |           
/            
0
$$\int\limits_{0}^{1} e^{2 x} x\, dx$$ 
Integral(E^(2*x)*x, (x, 0, 1))
The answer (Indefinite) [src] 
  /                               
 |                             2*x
 |  2*x            (-1 + 2*x)*e   
 | E   *x dx = C + ---------------
 |                        4       
/
$$\int e^{2 x} x\, dx = C + \frac{\left(2 x - 1\right) e^{2 x}}{4}$$
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] 
2.09726402473266
2.09726402473266
The graph
Integral of e^(2x)*x dx

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

    © Mister Exam – Calculator