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x*e^(4*x)
Solving integrals/ x*e^(4*x)

Integral of x*e^(4*x) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |     4*x   
 |  x*E    dx
 |           
/            
0
$$\int\limits_{0}^{1} e^{4 x} x\, dx$$ 
Integral(x*E^(4*x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                               
 |                             4*x
 |    4*x          (-1 + 4*x)*e   
 | x*E    dx = C + ---------------
 |                        16      
/
$$\int e^{4 x} x\, dx = C + \frac{\left(4 x - 1\right) e^{4 x}}{16}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
        4
1    3*e 
-- + ----
16    16
$$\frac{1}{16} + \frac{3 e^{4}}{16}$$ 
=
= 
        4
1    3*e 
-- + ----
16    16
$$\frac{1}{16} + \frac{3 e^{4}}{16}$$ 
1/16 + 3*exp(4)/16
Numerical answer [src] 
10.2996531312145
10.2996531312145
The graph
Integral of x*e^(4*x) dx

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

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