Mister Exam

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Integral of d{x}:
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Integral of 7
Integral of e^(x^3)
Derivative of:
x^2-9
Graphing y =:
x^2-9
Factor polynomial:
x^2-9
Identical expressions
x^ two - nine
x squared minus 9
x to the power of two minus nine
x2-9
x²-9
x to the power of 2-9
x^2-9dx
Similar expressions
(√(x^2-9))/x^2
(x^2-9x^4)
1/(x^2(x^2-9)^(1/2))
x^2+9

Solving integrals/ x^2-9

Integral of x^2-9 dx

The solution

You have entered [src]

 -3            
  /            
 |             
 |  / 2    \   
 |  \x  - 9/ dx
 |             
/              
3

$$\int\limits_{3}^{-3} \left(x^{2} - 9\right)\, dx$$

Integral(x^2 - 9, (x, 3, -3))

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 is the constant times the variable of integration:
  
  $\int \left(-9\right)\, dx = - 9 x$
The result is: $\frac{x^{3}}{3} - 9 x$
Now simplify:

$\frac{x \left(x^{2} - 27\right)}{3}$
Add the constant of integration:

$\frac{x \left(x^{2} - 27\right)}{3}+ \mathrm{constant}$

The answer is:

$\frac{x \left(x^{2} - 27\right)}{3}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                          
 |                          3
 | / 2    \                x 
 | \x  - 9/ dx = C - 9*x + --
 |                         3 
/

$$\int \left(x^{2} - 9\right)\, dx = C + \frac{x^{3}}{3} - 9 x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$36$$

Numerical answer [src]

36.0

36.0

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^2-9 dx

Limits of integration:

The graph:

Piecewise:

The solution