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Solving integrals/ z^2

Integral of z^2 dx

You have entered [src]

$$\int\limits_{0}^{1} z^{2}\, dz$$

Integral(z^2, (z, 0, 1))

Detail solution

The integral of $z^{n}$ is $\frac{z^{n + 1}}{n + 1}$ when $n \neq -1$ :

$\int z^{2}\, dz = \frac{z^{3}}{3}$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

  /              
 |              3
 |  2          z 
 | z  dz = C + --
 |             3 
/

$$\int z^{2}\, dz = C + \frac{z^{3}}{3}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

1/3

$$\frac{1}{3}$$

1/3

$$\frac{1}{3}$$

1/3

Numerical answer [src]

0.333333333333333

0.333333333333333

The graph

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