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(2x^2-10x+8)

Integral of (2x^2-10x+8) dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  4                     
  /                     
 |                      
 |  /   2           \   
 |  \2*x  - 10*x + 8/ dx
 |                      
/                       
1                       
$$\int\limits_{1}^{4} \left(2 x^{2} - 10 x + 8\right)\, dx$$
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]
  /                                            
 |                                            3
 | /   2           \             2         2*x 
 | \2*x  - 10*x + 8/ dx = C - 5*x  + 8*x + ----
 |                                          3  
/                                              
$${{2\,x^3}\over{3}}-5\,x^2+8\,x$$
The graph
The answer [src]
-9
$$-9$$
=
=
-9
$$-9$$
Numerical answer [src]
-9.0
-9.0
The graph
Integral of (2x^2-10x+8) dx

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