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(x+1)(x-1)
Solving integrals/ (x+1)(x-1)

Integral of (x+1)(x-1) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
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 |  (x + 1)*(x - 1) dx
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0
$$\int\limits_{0}^{1} \left(x - 1\right) \left(x + 1\right)\, dx$$ 
Integral((x + 1)*(x - 1), (x, 0, 1))
Detail solution

  1. Rewrite the integrand:

  2. 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:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                              3
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 | (x + 1)*(x - 1) dx = C - x + --
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$$\int \left(x - 1\right) \left(x + 1\right)\, dx = C + \frac{x^{3}}{3} - x$$
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 (x+1)(x-1) dx

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

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