Mister Exam

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How to use it?
Integral of d{x}:
Integral of 1/sqrt(1+u^2)
Integral of x*sin2x
Integral of x*dx/(x^2-1)
Integral of (x^2+x)dx
Derivative of:
2*x^4
Limit of the function:
2*x^4
Identical expressions
two *x^ four
2 multiply by x to the power of 4
two multiply by x to the power of four
2*x4
2*x⁴
2x^4
2x4
2*x^4dx
Similar expressions
(2x^4+x^2)/(((2+ln2)x^3))
(2x^4-5x^2+4)/((x^2)-1)
(2x^4\3-3sinx-2\x+4)
(2x^4-x^2+4)
x^6+2x^4+x^2

Solving integrals/ 2*x^4

Integral of 2*x^4 dx

The solution

You have entered [src]

$$\int\limits_{0}^{1} 2 x^{4}\, dx$$

Integral(2*x^4, (x, 0, 1))

Detail solution

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

$\int 2 x^{4}\, dx = 2 \int x^{4}\, dx$
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: $\frac{2 x^{5}}{5}$
Add the constant of integration:

$\frac{2 x^{5}}{5}+ \mathrm{constant}$

The answer is:

$\frac{2 x^{5}}{5}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                  
 |                  5
 |    4          2*x 
 | 2*x  dx = C + ----
 |                5  
/

$$\int 2 x^{4}\, dx = C + \frac{2 x^{5}}{5}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

2/5

$$\frac{2}{5}$$

=

2/5

$$\frac{2}{5}$$

2/5

Numerical answer [src]

0.4

0.4

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