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Integral of d{x}:
Integral of 4x^3
Integral of sin^6(x)
Integral of cos^6(x)
Integral of 5x³dx
Derivative of:
4x^3
Graphing y =:
4x^3
Identical expressions
4x^ three
4x cubed
4x to the power of three
4x3
4x³
4x to the power of 3
4x^3dx

Solving integrals/ 4x^3

Integral of 4x^3 dx

The solution

You have entered [src]

$$\int\limits_{0}^{1} 4 x^{3}\, dx$$

Simplify

Detail solution

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

$\int 4 x^{3}\, dx = 4 \int x^{3}\, dx$
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: $x^{4}$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

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

$$x^4$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$1$$

=

$$1$$

Simplify

Numerical answer [src]

1.0

1.0

The graph

Integral of 4x^3 dx

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