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x^2-2x-5

Integral of x^2-2x-5 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  4                  
  /                  
 |                   
 |  / 2          \   
 |  \x  - 2*x - 5/ dx
 |                   
/                    
0                    
$$\int\limits_{0}^{4} \left(x^{2} - 2 x - 5\right)\, dx$$
Integral(x^2 - 2*x - 1*5, (x, 0, 4))
Detail solution
  1. Integrate term-by-term:

    1. The integral of is when :

    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]
  /                                     
 |                                     3
 | / 2          \           2         x 
 | \x  - 2*x - 5/ dx = C - x  - 5*x + --
 |                                    3 
/                                       
$${{x^3}\over{3}}-x^2-5\,x$$
The graph
The answer [src]
-44/3
$$-{{44}\over{3}}$$
=
=
-44/3
$$- \frac{44}{3}$$
Numerical answer [src]
-14.6666666666667
-14.6666666666667
The graph
Integral of x^2-2x-5 dx

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