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x^2-5x

Integral of x^2-5x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

    The result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                             
 |                        2    3
 | / 2      \          5*x    x 
 | \x  - 5*x/ dx = C - ---- + --
 |                      2     3 
/                               
$${{x^3}\over{3}}-{{5\,x^2}\over{2}}$$
The graph
The answer [src]
-13/6
$$-{{13}\over{6}}$$
=
=
-13/6
$$- \frac{13}{6}$$
Numerical answer [src]
-2.16666666666667
-2.16666666666667
The graph
Integral of x^2-5x dx

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