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-x^2-3x-2

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

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src]
 -1                    
  /                    
 |                     
 |  /   2          \   
 |  \- x  - 3*x - 2/ dx
 |                     
/                      
-2                     
$$\int\limits_{-2}^{-1} \left(- x^{2} - 3 x - 2\right)\, dx$$
Integral(-x^2 - 3*x - 1*2, (x, -2, -1))
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 a constant times a function is the constant times the integral of the function:

        1. The integral of is when :

        So, the result is:

      So, the result is:

    1. The integral of a constant is the constant times the variable of integration:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                                         
 |                                    2    3
 | /   2          \                3*x    x 
 | \- x  - 3*x - 2/ dx = C - 2*x - ---- - --
 |                                  2     3 
/                                           
$$\int \left(- x^{2} - 3 x - 2\right)\, dx = C - \frac{x^{3}}{3} - \frac{3 x^{2}}{2} - 2 x$$
The graph
The answer [src]
1/6
$$\frac{1}{6}$$
=
=
1/6
$$\frac{1}{6}$$
Numerical answer [src]
0.166666666666667
0.166666666666667
The graph
Integral of -x^2-3x-2 dx

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