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x^2-2x+3
Solving integrals/ x^2-2x+3

Integral of x^2-2x+3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  2                  
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 |  / 2          \   
 |  \x  - 2*x + 3/ dx
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1
$$\int\limits_{1}^{2} \left(\left(x^{2} - 2 x\right) + 3\right)\, dx$$ 
Integral(x^2 - 2*x + 3, (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] 
  /                                     
 |                                     3
 | / 2          \           2         x 
 | \x  - 2*x + 3/ dx = C - x  + 3*x + --
 |                                    3 
/
$$\int \left(\left(x^{2} - 2 x\right) + 3\right)\, dx = C + \frac{x^{3}}{3} - x^{2} + 3 x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
7/3
$$\frac{7}{3}$$ 
=
= 
7/3
$$\frac{7}{3}$$ 
7/3
Numerical answer [src] 
2.33333333333333
2.33333333333333
The graph
Integral of x^2-2x+3 dx

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

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