Mister Exam

Lang:

Solving integrals/ x^(-10)

Integral of x^(-10) dx

You have entered [src]

$$\int\limits_{0}^{1} \frac{1}{x^{10}}\, dx$$

Integral(x^(-10), (x, 0, 1))

Detail solution

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

$\int \frac{1}{x^{10}}\, dx = - \frac{1}{9 x^{9}}$
Add the constant of integration:

$- \frac{1}{9 x^{9}}+ \mathrm{constant}$

The answer is:

$- \frac{1}{9 x^{9}}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                 
 |                  
 |  1            1  
 | --- dx = C - ----
 |  10             9
 | x            9*x 
 |                  
/

$$\int \frac{1}{x^{10}}\, dx = C - \frac{1}{9 x^{9}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

oo

$$\infty$$

oo

$$\infty$$

oo

Numerical answer [src]

6.7371264632911e+170

6.7371264632911e+170

The graph

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