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Solving integrals/ x^2-16

Integral of x^2-16 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  5             
  /             
 |              
 |  / 2     \   
 |  \x  - 16/ dx
 |              
/               
4
$$\int\limits_{4}^{5} \left(x^{2} - 16\right)\, dx$$ 
Integral(x^2 - 16, (x, 4, 5))
Detail solution

  1. Integrate term-by-term:

    1. The integral of is when :

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

    The result is:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                            
 |                            3
 | / 2     \                 x 
 | \x  - 16/ dx = C - 16*x + --
 |                           3 
/
$$\int \left(x^{2} - 16\right)\, dx = C + \frac{x^{3}}{3} - 16 x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
13/3
$$\frac{13}{3}$$ 
=
= 
13/3
$$\frac{13}{3}$$ 
13/3
Numerical answer [src] 
4.33333333333333
4.33333333333333

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

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