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Integral of x^2-6x+10 dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src]
  3                   
  /                   
 |                    
 |  / 2           \   
 |  \x  - 6*x + 10/ dx
 |                    
/                     
0                     
$$\int\limits_{0}^{3} \left(\left(x^{2} - 6 x\right) + 10\right)\, dx$$
Integral(x^2 - 6*x + 10, (x, 0, 3))
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]
  /                                         
 |                                         3
 | / 2           \             2          x 
 | \x  - 6*x + 10/ dx = C - 3*x  + 10*x + --
 |                                        3 
/                                           
$$\int \left(\left(x^{2} - 6 x\right) + 10\right)\, dx = C + \frac{x^{3}}{3} - 3 x^{2} + 10 x$$
The graph
The answer [src]
12
$$12$$
=
=
12
$$12$$
12
Numerical answer [src]
12.0
12.0

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