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Solving integrals/ u^(-2)

Integral of u^(-2) du

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$$\int\limits_{0}^{1} \frac{1}{u^{2}}\, du$$

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

Detail solution

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

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

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

The answer is:

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

The answer (Indefinite) [src]

  /             
 |              
 | 1           1
 | -- du = C - -
 |  2          u
 | u            
 |              
/

$$\int \frac{1}{u^{2}}\, du = C - \frac{1}{u}$$

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

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