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Integral of d{x}:
Integral of 3
Integral of x^1
Integral of sin(x)/cos(x)
Integral of e^(x+2)
Derivative of:
x^2-6x+5
Graphing y =:
x^2-6x+5
Canonical form:
x^2-6x+5
Identical expressions
x^ two -6x+ five
x squared minus 6x plus 5
x to the power of two minus 6x plus five
x2-6x+5
x²-6x+5
x to the power of 2-6x+5
x^2-6x+5dx
Similar expressions
x^2-6x-5
x^2+6x+5

Solving integrals/ x^2-6x+5

Integral of x^2-6x+5 dx

The solution

You have entered [src]

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 |  \x  - 6*x + 5/ dx
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0

$$\int\limits_{0}^{1} \left(x^{2} - 6 x + 5\right)\, dx$$

Integral(x^2 - 6*x + 5, (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:
  
  $\int \left(- 6 x\right)\, dx = - \int 6 x\, dx$
  1. The integral of a constant times a function is the constant times the integral of the function:
    
    $\int 6 x\, dx = 6 \int x\, dx$
    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: $3 x^{2}$
  So, the result is: $- 3 x^{2}$
1. The integral of a constant is the constant times the variable of integration:
  
  $\int 5\, dx = 5 x$
The result is: $\frac{x^{3}}{3} - 3 x^{2} + 5 x$
Now simplify:

$\frac{x \left(x^{2} - 9 x + 15\right)}{3}$
Add the constant of integration:

$\frac{x \left(x^{2} - 9 x + 15\right)}{3}+ \mathrm{constant}$

The answer is:

$\frac{x \left(x^{2} - 9 x + 15\right)}{3}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                                       
 |                                       3
 | / 2          \             2         x 
 | \x  - 6*x + 5/ dx = C - 3*x  + 5*x + --
 |                                      3 
/

$${{x^3}\over{3}}-3\,x^2+5\,x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

7/3

$${{7}\over{3}}$$

7/3

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

Simplify

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

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Integral of x^2-6x+5 dx

Limits of integration:

The graph:

Piecewise:

The solution