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Graphing y =:
x^2-2x+3
Canonical form:
x^2-2x+3
Derivative of:
x^2-2x+3
Identical expressions
y=x^ two -2x+ three
y equally x squared minus 2x plus 3
y equally x to the power of two minus 2x plus three
y=x2-2x+3
y=x²-2x+3
y=x to the power of 2-2x+3
y=x^2-2x+3dx
Similar expressions
y=x^2-2x-3
y=x^2+2x+3

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

Integral of y=x^2-2x+3 dx

The solution

You have entered [src]

  1                  
  /                  
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 |  / 2          \   
 |  \x  - 2*x + 3/ dx
 |                   
/                    
0

$$\int\limits_{0}^{1} \left(x^{2} - 2 x + 3\right)\, dx$$

Integral(x^2 - 2*x + 3, (x, 0, 1))

Detail solution

Integrate term-by-term:
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x^{2}\, dx = \frac{x^{3}}{3}$
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int \left(- 2 x\right)\, dx = - \int 2 x\, dx$
  1. The integral of a constant times a function is the constant times the integral of the function:
    
    $\int 2 x\, dx = 2 \int x\, dx$
    1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
      
      $\int x\, dx = \frac{x^{2}}{2}$
    So, the result is: $x^{2}$
  So, the result is: $- x^{2}$
1. The integral of a constant is the constant times the variable of integration:
  
  $\int 3\, dx = 3 x$
The result is: $\frac{x^{3}}{3} - x^{2} + 3 x$
Now simplify:

$\frac{x \left(x^{2} - 3 x + 9\right)}{3}$
Add the constant of integration:

$\frac{x \left(x^{2} - 3 x + 9\right)}{3}+ \mathrm{constant}$

The answer is:

$\frac{x \left(x^{2} - 3 x + 9\right)}{3}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                                     
 |                                     3
 | / 2          \           2         x 
 | \x  - 2*x + 3/ dx = C - x  + 3*x + --
 |                                    3 
/

$$\int \left(x^{2} - 2 x + 3\right)\, dx = C + \frac{x^{3}}{3} - x^{2} + 3 x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

7/3

$$\frac{7}{3}$$

7/3

$$\frac{7}{3}$$

Упростить

Numerical answer [src]

2.33333333333333

2.33333333333333

The graph

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

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Identical expressions

Similar expressions

Integral of y=x^2-2x+3 dx

Limits of integration:

The graph:

Piecewise:

The solution