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Integral of d{x}:
Integral of e^(2*x+1)
Integral of sin²xcos²x
Integral of (2x-3)^4
Integral of du/u
Graphing y =:
(x+1)(x-1)
Derivative of:
(x+1)(x-1)
Identical expressions
(x+ one)(x- one)
(x plus 1)(x minus 1)
(x plus one)(x minus one)
x+1x-1
(x+1)(x-1)dx
Similar expressions
(x+1)(x+1)
(x-1)(x-1)
(x+1)^(x-1)
1/((×+1)*(x+1)*(x-1))
2x^2-3x+1/(x+1)*(x-1)

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

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

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

Rewrite the integrand:

$\left(x - 1\right) \left(x + 1\right) = x^{2} - 1$
Integrate term-by-term:
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x^{2}\, dx = \frac{x^{3}}{3}$
1. The integral of a constant is the constant times the variable of integration:
  
  $\int \left(-1\right)\, dx = - x$
The result is: $\frac{x^{3}}{3} - x$
Add the constant of integration:

$\frac{x^{3}}{3} - x+ \mathrm{constant}$

The answer is:

$\frac{x^{3}}{3} - x+ \mathrm{constant}$

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.