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Solving integrals/ xyz

Integral of xyz dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1         
  /         
 |          
 |  x*y*z dx
 |          
/           
0
$$\int\limits_{0}^{1} x y z\, dx$$ 
Integral(x*y*z, (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
 |                y*z*x 
 | x*y*z dx = C + ------
 |                  2   
/
$$\int x y z\, dx = C + \frac{x^{2} y z}{2}$$
Simplify
The answer [src] 
y*z
---
 2
$$\frac{y z}{2}$$ 
=
= 
y*z
---
 2
$$\frac{y z}{2}$$
Упростить

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

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