Integral of x^-2 dx

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$$\int\limits_{0}^{1} \frac{1}{x^{2}}\, dx$$

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

Detail solution

The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :

$\int \frac{1}{x^{2}}\, dx = - \frac{1}{x}$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

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

$$\int \frac{1}{x^{2}}\, dx = C - \frac{1}{x}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

oo

$$\infty$$

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$$\infty$$

oo

Numerical answer [src]

1.3793236779486e+19

1.3793236779486e+19

The graph

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