Mister Exam

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How to use it?
Integral of d{x}:
Integral of e^(x/2)
Integral of x^2*exp(x^3)
Integral of dy/y^2
Integral of (1+x^2)^1/2
Graphing y =:
5*x^4
Derivative of:
5*x^4
Limit of the function:
5*x^4
Identical expressions
five *x^ four
5 multiply by x to the power of 4
five multiply by x to the power of four
5*x4
5*x⁴
5x^4
5x4
5*x^4dx
Similar expressions
f(x)=5x^4+6x^2-5
arccos5x+x^3*arccos(5x^4)
25x^(4)-3x^(2)-8
5x^4dx+8x^7dx-6^5dx

Solving integrals/ 5*x^4

Integral of 5*x^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 5*x^4 dx

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