Integral of x^3dy dx

You have entered [src]

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

Integral(x^3*1, (y, 0, 1))

Detail solution

The integral of a constant is the constant times the variable of integration:

$\int x^{3} \cdot 1\, dy = x^{3} y$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

  /                  
 |                   
 |  3               3
 | x *1 dy = C + y*x 
 |                   
/

$$x^3\,y$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

3
x

$$x^3$$

3
x

$$x^{3}$$

Simplify

The graph

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