Mister Exam

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How to use it?
Integral of d{x}:
Integral of e^(2*x)*cos(3*x)
Integral of 3*exp(-2*x)
Integral of x/(x^2-4)^(1/4)
Integral of -x^2+4
Derivative of:
4*x^4
Graphing y =:
4*x^4
Identical expressions
four *x^ four
4 multiply by x to the power of 4
four multiply by x to the power of four
4*x4
4*x⁴
4x^4
4x4
4*x^4dx
Similar expressions
4x^4-x^2+2x-1
-4x^4-x^5

Solving integrals/ 4*x^4

Integral of 4*x^4 dx

The solution

You have entered [src]

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

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

Detail solution

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

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

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

The answer is:

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

The answer (Indefinite) [src]

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

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

Simplify

The graph

Plot the graph f(x)

The answer [src]

4/5

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

=

4/5

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

4/5

Numerical answer [src]

0.8

0.8

The graph

Integral of 4*x^4 dx

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