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x^2-3x+2

Integral of x^2-3x+2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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  2                  
  /                  
 |                   
 |  / 2          \   
 |  \x  - 3*x + 2/ dx
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/                    
1                    
$$\int\limits_{1}^{2} \left(\left(x^{2} - 3 x\right) + 2\right)\, dx$$
Integral(x^2 - 3*x + 2, (x, 1, 2))
Detail solution
  1. Integrate term-by-term:

    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 is when :

        So, the result is:

      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 
/                                         
$$\int \left(\left(x^{2} - 3 x\right) + 2\right)\, dx = C + \frac{x^{3}}{3} - \frac{3 x^{2}}{2} + 2 x$$
The graph
The answer [src]
-1/6
$$- \frac{1}{6}$$
=
=
-1/6
$$- \frac{1}{6}$$
-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.