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Solving integrals/ 1-1/x^2

Integral of 1-1/x^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

  1. Integrate term-by-term:

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

    1. The integral of a constant times a function is the constant times the integral of the function:

        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)

      So, the result is:

    The result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                 
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 | /    1 \         
 | |1 - --| dx = nan
 | |     2|         
 | \    x /         
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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

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

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