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Solving integrals/ -x^2-2x

Integral of -x^2-2x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  2                
  /                
 |                 
 |  /   2      \   
 |  \- x  - 2*x/ dx
 |                 
/                  
0
$$\int\limits_{0}^{2} \left(- x^{2} - 2 x\right)\, dx$$ 
Integral(-x^2 - 2*x, (x, 0, 2))
Detail solution

  1. Integrate term-by-term:

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

      1. The integral of is when :

      So, the result is:

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

      1. The integral of is when :

      So, the result is:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                             
 |                             3
 | /   2      \           2   x 
 | \- x  - 2*x/ dx = C - x  - --
 |                            3 
/
$$\int \left(- x^{2} - 2 x\right)\, dx = C - \frac{x^{3}}{3} - x^{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-20/3
$$- \frac{20}{3}$$ 
=
= 
-20/3
$$- \frac{20}{3}$$ 
-20/3
Numerical answer [src] 
-6.66666666666667
-6.66666666666667

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

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