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Solving integrals/ y^3

Integral of y^3 dx

You have entered [src]

$$\int\limits_{0}^{1} y^{3}\, dy$$

Simplify

Detail solution

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

$\int y^{3}\, dy = \frac{y^{4}}{4}$
Add the constant of integration:

$\frac{y^{4}}{4}+ \mathrm{constant}$

The answer is:

$\frac{y^{4}}{4}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /              
 |              4
 |  3          y 
 | y  dy = C + --
 |             4 
/

$${{y^4}\over{4}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

1/4

$${{1}\over{4}}$$

1/4

$$\frac{1}{4}$$

Simplify

Numerical answer [src]

0.25

0.25

The graph

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