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Derivative of:
x^2-2x-5
Identical expressions
x^ two -2x- five
x squared minus 2x minus 5
x to the power of two minus 2x minus five
x2-2x-5
x²-2x-5
x to the power of 2-2x-5
x^2-2x-5dx
Similar expressions
x^2+2x-5
x^2-2x+5

Solving integrals/ x^2-2x-5

Integral of x^2-2x-5 dx

The solution

You have entered [src]

  4                  
  /                  
 |                   
 |  / 2          \   
 |  \x  - 2*x - 5/ dx
 |                   
/                    
0

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

Integral(x^2 - 2*x - 1*5, (x, 0, 4))

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:
  
  $\int \left(\left(-1\right) 5\right)\, dx = - 5 x$
The result is: $\frac{x^{3}}{3} - x^{2} - 5 x$
Now simplify:

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

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

The answer is:

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

The answer (Indefinite) [src]

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

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

Simplify

The graph

Plot the graph f(x)

The answer [src]

-44/3

$$-{{44}\over{3}}$$

-44/3

$$- \frac{44}{3}$$

Упростить

Numerical answer [src]

-14.6666666666667

-14.6666666666667

The graph

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

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Integral of x^2-2x-5 dx

Limits of integration:

The graph:

Piecewise:

The solution