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Integral of d{x}:
Integral of 1/(1+4x^2)
Integral of (sec(x))^3
Integral of sec^3
Integral of x*3^x
Derivative of:
5x^3
Identical expressions
5x^ three
5x cubed
5x to the power of three
5x3
5x³
5x to the power of 3
5x^3dx
Similar expressions
cos(5*x)*dx/sin(5*x)^(3/2)
(sin(5*x))^3

Solving integrals/ 5x^3

Integral of 5x^3 dx

The solution

You have entered [src]

$$\int\limits_{0}^{1} 5 x^{3}\, dx$$

Integral(5*x^3, (x, 0, 1))

Detail solution

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

$\int 5 x^{3}\, dx = 5 \int x^{3}\, dx$
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: $\frac{5 x^{4}}{4}$
Add the constant of integration:

$\frac{5 x^{4}}{4}+ \mathrm{constant}$

The answer is:

$\frac{5 x^{4}}{4}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                  
 |                  4
 |    3          5*x 
 | 5*x  dx = C + ----
 |                4  
/

$$\int 5 x^{3}\, dx = C + \frac{5 x^{4}}{4}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

5/4

$$\frac{5}{4}$$

=

5/4

$$\frac{5}{4}$$

5/4

Numerical answer [src]

1.25

1.25

The graph

Integral of 5x^3 dx

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