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x^(2)*e^-3x
Solving integrals/ x^(2)*e^-3x

You entered:

x^(2)*e^-3x

What you mean?

x^2*x/e^3
 
x^2/e^(3*x)
 
x^2/e^(3*x)

Integral of x^(2)*e^-3x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1        
  /        
 |         
 |   2     
 |  x *x   
 |  ---- dx
 |    3    
 |   e     
 |         
/          
0
$$\int\limits_{0}^{1} \frac{x x^{2}}{e^{3}}\, dx$$ 
Integral(x^2*x/E^3, (x, 0, 1))
Detail solution

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

    1. Let .

      Then let and substitute :

      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:

      Now substitute back in:

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                    
 |                     
 |  2             4  -3
 | x *x          x *e  
 | ---- dx = C + ------
 |   3             4   
 |  e                  
 |                     
/
$$\int \frac{x x^{2}}{e^{3}}\, dx = C + \frac{x^{4}}{4 e^{3}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
 -3
e  
---
 4
$$\frac{1}{4 e^{3}}$$ 
=
= 
 -3
e  
---
 4
$$\frac{1}{4 e^{3}}$$
Упростить
Numerical answer [src] 
0.012446767091966
0.012446767091966
The graph
Integral of x^(2)*e^-3x dx

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

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