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Integral of d{x}:
Integral of 4
Integral of 5x^4
Integral of √xlogx
Integral of sin^2x/cosx
Derivative of:
5x^4
Graphing y =:
5x^4
Identical expressions
5x^ four
5x to the power of 4
5x to the power of four
5x4
5x⁴
5x^4dx
Similar expressions
(5*x^4+3x^2-1)
25x^(4)-3x^(2)-8

Solving integrals/ 5x^4

Integral of 5x^4 dx

The solution

You have entered [src]

$$\int\limits_{0}^{1} 5 x^{4}\, dx$$

Integral(5*x^4, (x, 0, 1))

Detail solution

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

$\int 5 x^{4}\, dx = 5 \int x^{4}\, dx$
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x^{4}\, dx = \frac{x^{5}}{5}$
So, the result is: $x^{5}$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

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

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

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$1$$

=

$$1$$

Numerical answer [src]

1.0

1.0

The graph

Integral of 5x^4 dx

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