Mister Exam

Lang:

Other calculators

How to use it?
Integral of d{x}:
Integral of 1/(x^2+3)
Integral of x^-3
Integral of e^((-x^2)/2)
Integral of a^x
Graphing y =:
x^3-3*x^2
Derivative of:
x^3-3*x^2
Limit of the function:
x^3-3*x^2
Identical expressions
x^ three - three *x^ two
x cubed minus 3 multiply by x squared
x to the power of three minus three multiply by x to the power of two
x3-3*x2
x³-3*x²
x to the power of 3-3*x to the power of 2
x^3-3x^2
x3-3x2
x^3-3*x^2dx
Similar expressions
(4x^3-3x^2+2^x+1)
x^3+3*x^2
4x^3-3x^2+2x+1
1/3x^3-3x^2+5x+10
x^3-3x^2+1

Solving integrals/ x^3-3*x^2

Integral of x^3-3*x^2 dx

The solution

You have entered [src]

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

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

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

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

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

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

The answer is:

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

The answer (Indefinite) [src]

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

$${{x^4}\over{4}}-x^3$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

-4

$$-4$$

-4

$$-4$$

Simplify

Numerical answer [src]

-4.0

-4.0

The graph

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

Other calculators

How to use it?

Identical expressions

Similar expressions

Integral of x^3-3*x^2 dx

Limits of integration:

The graph:

Piecewise:

The solution