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Solving integrals/ y^(-3)

Integral of y^(-3) dy

You have entered [src]

$$\int\limits_{0}^{1} \frac{1}{y^{3}}\, dy$$

Integral(y^(-3), (y, 0, 1))

Detail solution

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

$\int \frac{1}{y^{3}}\, dy = - \frac{1}{2 y^{2}}$
Add the constant of integration:

$- \frac{1}{2 y^{2}}+ \mathrm{constant}$

The answer is:

$- \frac{1}{2 y^{2}}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                
 |                 
 | 1            1  
 | -- dy = C - ----
 |  3             2
 | y           2*y 
 |                 
/

$$\int \frac{1}{y^{3}}\, dy = C - \frac{1}{2 y^{2}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

oo

$$\infty$$

oo

$$\infty$$

oo

Numerical answer [src]

9.15365037903492e+37

9.15365037903492e+37

The graph

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