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x^2-4x+3

Integral of x^2-4x+3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                  
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 |  / 2          \   
 |  \x  - 4*x + 3/ dx
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0                    
$$\int\limits_{0}^{1} \left(x^{2} - 4 x + 3\right)\, dx$$
Integral(x^2 - 4*x + 3, (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:

    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  - 4*x + 3/ dx = C - 2*x  + 3*x + --
 |                                      3 
/                                         
$${{x^3}\over{3}}-2\,x^2+3\,x$$
The graph
The answer [src]
4/3
$${{4}\over{3}}$$
=
=
4/3
$$\frac{4}{3}$$
Numerical answer [src]
1.33333333333333
1.33333333333333
The graph
Integral of x^2-4x+3 dx

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