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e^5*x*dx
Solving integrals/ e^5*x*dx

Integral of e^5*x*dx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1        
  /        
 |         
 |   5     
 |  E *x dx
 |         
/          
0
$$\int\limits_{0}^{1} e^{5} x\, dx$$ 
Integral(E^5*x, (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] 
  /                   
 |                2  5
 |  5            x *e 
 | E *x dx = C + -----
 |                 2  
/
$$\int e^{5} x\, dx = C + \frac{x^{2} e^{5}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
 5
e 
--
2
$$\frac{e^{5}}{2}$$ 
=
= 
 5
e 
--
2
$$\frac{e^{5}}{2}$$ 
exp(5)/2
Numerical answer [src] 
74.2065795512883
74.2065795512883
The graph
Integral of e^5*x*dx dx

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

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