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xe^(7x)
Solving integrals/ xe^(7x)

Integral of xe^(7x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |     7*x   
 |  x*E    dx
 |           
/            
0
$$\int\limits_{0}^{1} e^{7 x} x\, dx$$ 
Integral(x*E^(7*x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                               
 |                             7*x
 |    7*x          (-1 + 7*x)*e   
 | x*E    dx = C + ---------------
 |                        49      
/
$$\int e^{7 x} x\, dx = C + \frac{\left(7 x - 1\right) e^{7 x}}{49}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
        7
1    6*e 
-- + ----
49    49
$$\frac{1}{49} + \frac{6 e^{7}}{49}$$ 
=
= 
        7
1    6*e 
-- + ----
49    49
$$\frac{1}{49} + \frac{6 e^{7}}{49}$$ 
1/49 + 6*exp(7)/49
Numerical answer [src] 
134.302019399403
134.302019399403
The graph
Integral of xe^(7x) dx

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

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