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20z^3/2
Solving integrals/ 20z^3/2

You entered:

20z^3/2

What you mean?

20*z^3/2
 
20*z^(3/2)
 
20*z^3/2
 
20*z*3/2
 
20*z*3/2

Integral of 20z^3/2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1         
  /         
 |          
 |      3   
 |  20*z    
 |  ----- dz
 |    2     
 |          
/           
0
$$\int\limits_{0}^{1} \frac{20 z^{3}}{2}\, dz$$ 
Integral((20*z^3)/2, (z, 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 a constant times a function is the constant times the integral of the function:

      1. The integral of is when :

      So, the result is:

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                   
 |                    
 |     3             4
 | 20*z           5*z 
 | ----- dz = C + ----
 |   2             2  
 |                    
/
$$\int \frac{20 z^{3}}{2}\, dz = C + \frac{5 z^{4}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
5/2
$$\frac{5}{2}$$ 
=
= 
5/2
$$\frac{5}{2}$$ 
5/2
Numerical answer [src] 
2.5
2.5
The graph
Integral of 20z^3/2 dx

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

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