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Integral of 8-x^2 dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
  3            
  /            
 |             
 |  /     2\   
 |  \8 - x / dx
 |             
/              
2              
$$\int\limits_{2}^{3} \left(8 - x^{2}\right)\, dx$$
Integral(8 - x^2, (x, 2, 3))
Detail solution
  1. Integrate term-by-term:

    1. The integral of a constant is the constant times the variable of integration:

    1. The integral of a constant times a function is the constant times the integral of the function:

      1. The integral of is when :

      So, the result is:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                          
 |                          3
 | /     2\                x 
 | \8 - x / dx = C + 8*x - --
 |                         3 
/                            
$$\int \left(8 - x^{2}\right)\, dx = C - \frac{x^{3}}{3} + 8 x$$
The graph
The answer [src]
5/3
$$\frac{5}{3}$$
=
=
5/3
$$\frac{5}{3}$$
5/3
Numerical answer [src]
1.66666666666667
1.66666666666667

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