Integral of x+18 dx

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 -9            
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 |  (x + 18) dx
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-18

$$\int\limits_{-18}^{-9} \left(x + 18\right)\, dx$$

Integral(x + 18, (x, -18, -9))

Detail solution

Integrate term-by-term:
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x\, dx = \frac{x^{2}}{2}$
1. The integral of a constant is the constant times the variable of integration:
  
  $\int 18\, dx = 18 x$
The result is: $\frac{x^{2}}{2} + 18 x$
Now simplify:

$\frac{x \left(x + 36\right)}{2}$
Add the constant of integration:

$\frac{x \left(x + 36\right)}{2}+ \mathrm{constant}$

The answer is:

$\frac{x \left(x + 36\right)}{2}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                   2       
 |                   x        
 | (x + 18) dx = C + -- + 18*x
 |                   2        
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$$\int \left(x + 18\right)\, dx = C + \frac{x^{2}}{2} + 18 x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

81/2

$$\frac{81}{2}$$

81/2

$$\frac{81}{2}$$

81/2

Numerical answer [src]

40.5

40.5

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