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x²-1
Solving integrals/ x²-1

Integral of x²-1 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  2            
  /            
 |             
 |  / 2    \   
 |  \x  - 1/ dx
 |             
/              
0
$$\int\limits_{0}^{2} \left(x^{2} - 1\right)\, dx$$ 
Integral(x^2 - 1, (x, 0, 2))
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. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                        
 |                        3
 | / 2    \              x 
 | \x  - 1/ dx = C - x + --
 |                       3 
/
$$\int \left(x^{2} - 1\right)\, dx = C + \frac{x^{3}}{3} - x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
2/3
$$\frac{2}{3}$$ 
=
= 
2/3
$$\frac{2}{3}$$ 
2/3
Numerical answer [src] 
0.666666666666667
0.666666666666667
The graph
Integral of x²-1 dx

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

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