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Solving integrals/ x^-5

Integral of x^-5 dx

You have entered [src]

$$\int\limits_{0}^{1} \frac{1}{x^{5}}\, dx$$

Integral(x^(-5), (x, 0, 1))

Detail solution

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

$\int \frac{1}{x^{5}}\, dx = - \frac{1}{4 x^{4}}$
Add the constant of integration:

$- \frac{1}{4 x^{4}}+ \mathrm{constant}$

The answer is:

$- \frac{1}{4 x^{4}}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                
 |                 
 | 1            1  
 | -- dx = C - ----
 |  5             4
 | x           4*x 
 |                 
/

$$\int \frac{1}{x^{5}}\, dx = C - \frac{1}{4 x^{4}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

oo

$$\infty$$

oo

$$\infty$$

oo

Numerical answer [src]

7.26749061658134e+75

7.26749061658134e+75

The graph

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