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Identical expressions
(one -x^(- two))
(1 minus x to the power of ( minus 2))
(one minus x to the power of ( minus two))
(1-x(-2))
1-x-2
1-x^-2
(1-x^(-2))dx
Similar expressions
(1-x^(2))
(1+x^(-2))

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

The solution

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  1            
  /            
 |             
 |  /    1 \   
 |  |1 - --| dx
 |  |     2|   
 |  \    x /   
 |             
/              
0

$$\int\limits_{0}^{1} \left(1 - \frac{1}{x^{2}}\right)\, dx$$

Integral(1 - 1/x^2, (x, 0, 1))

Detail solution

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

$x + \frac{1}{x}+ \mathrm{constant}$

The answer is:

$x + \frac{1}{x}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                       
 |                        
 | /    1 \              1
 | |1 - --| dx = C + x + -
 | |     2|              x
 | \    x /               
 |                        
/

$$\int \left(1 - \frac{1}{x^{2}}\right)\, dx = C + x + \frac{1}{x}$$

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

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

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

Limits of integration:

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Piecewise:

The solution