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Integral of d{x}:
Integral of e^(-x^2)
Integral of 5
Integral of x*cos(x)
Integral of pi
Graphing y =:
2x^3
Derivative of:
2x^3
Identical expressions
2x^ three
2x cubed
2x to the power of three
2x3
2x³
2x to the power of 3
2x^3dx
Similar expressions
1/(sqrt(1-4x^2)*arcsin(2x)^3)
(2*x^3)-3x/x^4+9

Solving integrals/ 2x^3

Integral of 2x^3 dx

The solution

You have entered [src]

$$\int\limits_{0}^{1} 2 x^{3}\, dx$$

Integral(2*x^3, (x, 0, 1))

Detail solution

The integral of a constant times a function is the constant times the integral of the function:

$\int 2 x^{3}\, dx = 2 \int x^{3}\, dx$
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x^{3}\, dx = \frac{x^{4}}{4}$
So, the result is: $\frac{x^{4}}{2}$
Add the constant of integration:

$\frac{x^{4}}{2}+ \mathrm{constant}$

The answer is:

$\frac{x^{4}}{2}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                
 |                4
 |    3          x 
 | 2*x  dx = C + --
 |               2 
/

$$\int 2 x^{3}\, dx = C + \frac{x^{4}}{2}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

1/2

$$\frac{1}{2}$$

=

1/2

$$\frac{1}{2}$$

1/2

Numerical answer [src]

0.5

0.5

The graph

Integral of 2x^3 dx

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