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Integral of d{x}:
Integral of tanx
Integral of x/sin(x)
Integral of atan(x)
Integral of tanh(x)
Identical expressions
(x^ two - five x+5)-(x+ four)
(x squared minus 5x plus 5) minus (x plus 4)
(x to the power of two minus five x plus 5) minus (x plus four)
(x2-5x+5)-(x+4)
x2-5x+5-x+4
(x²-5x+5)-(x+4)
(x to the power of 2-5x+5)-(x+4)
x^2-5x+5-x+4
(x^2-5x+5)-(x+4)dx
Similar expressions
(x^2+5x+5)-(x+4)
(x^2-5x+5)-(x-4)
(x^2-5x+5)+(x+4)
(x^2-5x-5)-(x+4)

Integral of (x^2-5x+5)-(x+4) dx

The solution

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 277                          
 ---                          
 200                          
  /                           
 |                            
 |  / 2                   \   
 |  \x  - 5*x + 5 + -x - 4/ dx
 |                            
/                             
0

$$\int\limits_{0}^{\frac{277}{200}} \left(\left(- x - 4\right) + \left(\left(x^{2} - 5 x\right) + 5\right)\right)\, dx$$

Integral(x^2 - 5*x + 5 - x - 4, (x, 0, 277/200))

Detail solution

Integrate term-by-term:
1. Integrate term-by-term:
  1. The integral of a constant times a function is the constant times the integral of the function:
    
    $\int \left(- x\right)\, dx = - \int x\, dx$
    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: $- \frac{x^{2}}{2}$
  1. The integral of a constant is the constant times the variable of integration:
    
    $\int \left(-4\right)\, dx = - 4 x$
  The result is: $- \frac{x^{2}}{2} - 4 x$
1. Integrate term-by-term:
  1. 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:
      
      $\int \left(- 5 x\right)\, dx = - 5 \int x\, dx$
      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: $- \frac{5 x^{2}}{2}$
    The result is: $\frac{x^{3}}{3} - \frac{5 x^{2}}{2}$
  1. The integral of a constant is the constant times the variable of integration:
    
    $\int 5\, dx = 5 x$
  The result is: $\frac{x^{3}}{3} - \frac{5 x^{2}}{2} + 5 x$
The result is: $\frac{x^{3}}{3} - 3 x^{2} + x$
Now simplify:

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

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

The answer is:

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

The answer (Indefinite) [src]

  /                                              
 |                                              3
 | / 2                   \                 2   x 
 | \x  - 5*x + 5 + -x - 4/ dx = C + x - 3*x  + --
 |                                             3 
/

$$\int \left(\left(- x - 4\right) + \left(\left(x^{2} - 5 x\right) + 5\right)\right)\, dx = C + \frac{x^{3}}{3} - 3 x^{2} + x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

-83618267 
----------
 24000000

$$- \frac{83618267}{24000000}$$

-83618267 
----------
 24000000

$$- \frac{83618267}{24000000}$$

-83618267/24000000

Numerical answer [src]

-3.48409445833333

-3.48409445833333

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

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Identical expressions

Similar expressions

Integral of (x^2-5x+5)-(x+4) dx

Limits of integration:

The graph:

Piecewise:

The solution