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z^2

Integral of z^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1      
  /      
 |       
 |   2   
 |  z  dz
 |       
/        
0        
01z2dz\int\limits_{0}^{1} z^{2}\, dz
Integral(z^2, (z, 0, 1))
Detail solution
  1. The integral of znz^{n} is zn+1n+1\frac{z^{n + 1}}{n + 1} when n1n \neq -1:

    z2dz=z33\int z^{2}\, dz = \frac{z^{3}}{3}

  2. Add the constant of integration:

    z33+constant\frac{z^{3}}{3}+ \mathrm{constant}


The answer is:

z33+constant\frac{z^{3}}{3}+ \mathrm{constant}

The answer (Indefinite) [src]
  /              
 |              3
 |  2          z 
 | z  dz = C + --
 |             3 
/                
z2dz=C+z33\int z^{2}\, dz = C + \frac{z^{3}}{3}
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
The answer [src]
1/3
13\frac{1}{3}
=
=
1/3
13\frac{1}{3}
1/3
Numerical answer [src]
0.333333333333333
0.333333333333333
The graph
Integral of z^2 dx

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