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Graphing y =:
2-x-x^2
Factor polynomial:
2-x-x^2
Identical expressions
two -x-x^ two
2 minus x minus x squared
two minus x minus x to the power of two
2-x-x2
2-x-x²
2-x-x to the power of 2
2-x-x^2dx
Similar expressions
2-x+x^2
2+x-x^2

Solving integrals/ 2-x-x^2

Integral of 2-x-x^2 dx

The solution

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  1                
  /                
 |                 
 |  /         2\   
 |  \2 - x - x / dx
 |                 
/                  
-2

$$\int\limits_{-2}^{1} \left(- x^{2} - x + 2\right)\, dx$$

Integral(2 - x - x^2, (x, -2, 1))

Detail solution

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

$\frac{x \left(- 2 x^{2} - 3 x + 12\right)}{6}$
Add the constant of integration:

$\frac{x \left(- 2 x^{2} - 3 x + 12\right)}{6}+ \mathrm{constant}$

The answer is:

$\frac{x \left(- 2 x^{2} - 3 x + 12\right)}{6}+ \mathrm{constant}$

The answer (Indefinite) [src]

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

$$-{{x^3}\over{3}}-{{x^2}\over{2}}+2\,x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

9/2

$${{9}\over{2}}$$

9/2

$$\frac{9}{2}$$

Упростить

Numerical answer [src]

4.5

4.5

The graph

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

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Integral of 2-x-x^2 dx

Limits of integration:

The graph:

Piecewise:

The solution