Mister Exam

Other calculators

x*e^(5*x)
Solving integrals/ x*e^(5*x)

Integral of x*e^(5*x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |     5*x   
 |  x*E    dx
 |           
/            
0
$$\int\limits_{0}^{1} e^{5 x} x\, dx$$ 
Integral(x*E^(5*x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                               
 |                             5*x
 |    5*x          (-1 + 5*x)*e   
 | x*E    dx = C + ---------------
 |                        25      
/
$$\int e^{5 x} x\, dx = C + \frac{\left(5 x - 1\right) e^{5 x}}{25}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
        5
1    4*e 
-- + ----
25    25
$$\frac{1}{25} + \frac{4 e^{5}}{25}$$ 
=
= 
        5
1    4*e 
-- + ----
25    25
$$\frac{1}{25} + \frac{4 e^{5}}{25}$$ 
1/25 + 4*exp(5)/25
Numerical answer [src] 
23.7861054564123
23.7861054564123
The graph
Integral of x*e^(5*x) dx

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

    © Mister Exam – Calculator