Mister Exam

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Integral of d{x}:
Integral of x*2^(-x)
Integral of ex^2
Integral of (1/x^2)dx
Integral of x*cos(x/2)
Derivative of:
x^3-2
Graphing y =:
x^3-2
Identical expressions
x^ three - two
x cubed minus 2
x to the power of three minus two
x3-2
x³-2
x to the power of 3-2
x^3-2dx
Similar expressions
5*sqrt(x^3)-2+3/x^4
(x^3-2)/(x^3-x^2)
x^3+2

Solving integrals/ x^3-2

Integral of x^3-2 dx

The solution

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  3            
  /            
 |             
 |  / 3    \   
 |  \x  - 2/ dx
 |             
/              
0

$$\int\limits_{0}^{3} \left(x^{3} - 2\right)\, dx$$

Integral(x^3 - 1*2, (x, 0, 3))

Detail solution

Integrate term-by-term:
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x^{3}\, dx = \frac{x^{4}}{4}$
1. The integral of a constant is the constant times the variable of integration:
  
  $\int \left(\left(-1\right) 2\right)\, dx = - 2 x$
The result is: $\frac{x^{4}}{4} - 2 x$
Now simplify:

$\frac{x \left(x^{3} - 8\right)}{4}$
Add the constant of integration:

$\frac{x \left(x^{3} - 8\right)}{4}+ \mathrm{constant}$

The answer is:

$\frac{x \left(x^{3} - 8\right)}{4}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                          
 |                          4
 | / 3    \                x 
 | \x  - 2/ dx = C - 2*x + --
 |                         4 
/

$${{x^4}\over{4}}-2\,x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

57/4

$${{57}\over{4}}$$

57/4

$$\frac{57}{4}$$

Simplify

Numerical answer [src]

14.25

14.25

The graph

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

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Identical expressions

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Integral of x^3-2 dx

Limits of integration:

The graph:

Piecewise:

The solution