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Solving integrals/ y^(-2)

Integral of y^(-2) dy

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$$\int\limits_{0}^{1} \frac{1}{y^{2}}\, dy$$

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

Detail solution

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

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

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

The answer is:

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

The answer (Indefinite) [src]

  /             
 |              
 | 1           1
 | -- dy = C - -
 |  2          y
 | y            
 |              
/

$$\int \frac{1}{y^{2}}\, dy = C - \frac{1}{y}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

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$$\infty$$

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$$\infty$$

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Numerical answer [src]

1.3793236779486e+19

1.3793236779486e+19

The graph

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