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-x^2+9
Solving integrals/ -x^2+9

Integral of -x^2+9 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  3              
  /              
 |               
 |  /   2    \   
 |  \- x  + 9/ dx
 |               
/                
-3
$$\int\limits_{-3}^{3} \left(9 - x^{2}\right)\, dx$$ 
Integral(-x^2 + 9, (x, -3, 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 
 | \- x  + 9/ dx = C + 9*x - --
 |                           3 
/
$$\int \left(9 - x^{2}\right)\, dx = C - \frac{x^{3}}{3} + 9 x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
36
$$36$$ 
=
= 
36
$$36$$ 
36
Numerical answer [src] 
36.0
36.0
The graph
Integral of -x^2+9 dx

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

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