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1/(x^2)-1
Solving integrals/ 1/(x^2)-1

Integral of 1/(x^2)-1 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
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0
$$\int\limits_{0}^{1} \left(-1 + \frac{1}{x^{2}}\right)\, dx$$ 
Integral(1/(x^2) - 1, (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

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

      PiecewiseRule(subfunctions=[(ArctanRule(a=1, b=1, c=0, context=1/(x**2), symbol=x), False), (ArccothRule(a=1, b=1, c=0, context=1/(x**2), symbol=x), False), (ArctanhRule(a=1, b=1, c=0, context=1/(x**2), symbol=x), False)], context=1/(x**2), symbol=x)

    The result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
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$$\int \left(-1 + \frac{1}{x^{2}}\right)\, dx = \text{NaN}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
oo
$$\infty$$ 
=
= 
oo
$$\infty$$ 
oo
Numerical answer [src] 
1.3793236779486e+19
1.3793236779486e+19
The graph
Integral of 1/(x^2)-1 dx

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

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