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x^2-4x+4

Integral of x^2-4x+4 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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  2                  
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 |  \x  - 4*x + 4/ dx
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$$\int\limits_{1}^{2} \left(\left(x^{2} - 4 x\right) + 4\right)\, dx$$
Integral(x^2 - 4*x + 4, (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]
  /                                       
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 | / 2          \             2         x 
 | \x  - 4*x + 4/ dx = C - 2*x  + 4*x + --
 |                                      3 
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$$\int \left(\left(x^{2} - 4 x\right) + 4\right)\, dx = C + \frac{x^{3}}{3} - 2 x^{2} + 4 x$$
The graph
The answer [src]
1/3
$$\frac{1}{3}$$
=
=
1/3
$$\frac{1}{3}$$
1/3
Numerical answer [src]
0.333333333333333
0.333333333333333
The graph
Integral of x^2-4x+4 dx

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