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xe^5x
Solving integrals/ xe^5x

You entered:

xe^5x

What you mean?

x*e^5*x
 
x*e^(5*x)
 
x*e^(5*x)

Integral of xe^5x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |     5     
 |  x*e *x dx
 |           
/            
0
∫01xxe5 dx\int\limits_{0}^{1} x x e^{5}\, dx
Simplify
Detail solution

  1. The integral of a constant times a function is the constant times the integral of the function:

    ∫xxe5 dx=e5∫xx dx\int x x e^{5}\, dx = e^{5} \int x x\, dx

    1. Don't know the steps in finding this integral.

      But the integral is

      x33\frac{x^{3}}{3}

    So, the result is: x3e53\frac{x^{3} e^{5}}{3}

  2. Add the constant of integration:

    x3e53+constant\frac{x^{3} e^{5}}{3}+ \mathrm{constant}

The answer is:

x3e53+constant\frac{x^{3} e^{5}}{3}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                     
 |                  3  5
 |    5            x *e 
 | x*e *x dx = C + -----
 |                   3  
/
e5 x33{{e^5\,x^3}\over{3}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.900200
Plot the graph f(x)
The answer [src] 
 5
e 
--
3
e53{{e^5}\over{3}} 
=
= 
 5
e 
--
3
e53\frac{e^{5}}{3}
Simplify
Numerical answer [src] 
49.4710530341922
49.4710530341922
The graph
Integral of xe^5x dx

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

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