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Solving integrals/ x^2-5

Integral of x^2-5 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
    0             
    /             
   |              
   |   / 2    \   
   |   \x  - 5/ dx
   |              
  /               
   ___            
-\/ 5
$$\int\limits_{- \sqrt{5}}^{0} \left(x^{2} - 5\right)\, dx$$ 
Integral(x^2 - 5, (x, -sqrt(5), 0))
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  - 5/ dx = C - 5*x + --
 |                         3 
/
$$\int \left(x^{2} - 5\right)\, dx = C + \frac{x^{3}}{3} - 5 x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
      ___
-10*\/ 5 
---------
    3
$$- \frac{10 \sqrt{5}}{3}$$ 
=
= 
      ___
-10*\/ 5 
---------
    3
$$- \frac{10 \sqrt{5}}{3}$$ 
-10*sqrt(5)/3
Numerical answer [src] 
-7.4535599249993
-7.4535599249993

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

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