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Solving integrals/ y^2

Integral of y^2 dx

You have entered [src]

$$\int\limits_{0}^{1} y^{2}\, dy$$

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

Detail solution

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

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

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

The answer is:

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

The answer (Indefinite) [src]

  /              
 |              3
 |  2          y 
 | y  dy = C + --
 |             3 
/

$$\int y^{2}\, dy = C + \frac{y^{3}}{3}$$

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.