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Solving integrals/ 2x-4x

Integral of 2x-4x dx

The solution

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  3               
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 |  (2*x - 4*x) dx
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2

$$\int\limits_{2}^{3} \left(- 4 x + 2 x\right)\, dx$$

Integral(2*x - 4*x, (x, 2, 3))

Detail solution

Integrate term-by-term:
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int \left(- 4 x\right)\, dx = - \int 4 x\, dx$
  1. The integral of a constant times a function is the constant times the integral of the function:
    
    $\int 4 x\, dx = 4 \int x\, dx$
    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: $2 x^{2}$
  So, the result is: $- 2 x^{2}$
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: $x^{2}$
The result is: $- x^{2}$
Add the constant of integration:

$- x^{2}+ \mathrm{constant}$

The answer is:

$- x^{2}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                       
 |                       2
 | (2*x - 4*x) dx = C - x 
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/

$$-x^2$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

-5

$$-5$$

=

-5

$$-5$$

Simplify

Numerical answer [src]

-5.0

-5.0

The graph

Integral of 2x-4x dx

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