Integral of -1/x dx

You have entered [src]

$$\int\limits_{0}^{1} \left(- \frac{1}{x}\right)\, dx$$

Integral(-1/x, (x, 0, 1))

Detail solution

The integral of a constant times a function is the constant times the integral of the function:

$\int \left(- \frac{1}{x}\right)\, dx = - \int \frac{1}{x}\, dx$
1. The integral of $\frac{1}{x}$ is $\log{\left(x \right)}$ .
So, the result is: $- \log{\left(x \right)}$
Add the constant of integration:

$- \log{\left(x \right)}+ \mathrm{constant}$

The answer is:

$- \log{\left(x \right)}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                   
 |                    
 | -1                 
 | --- dx = C - log(x)
 |  x                 
 |                    
/

$$\int \left(- \frac{1}{x}\right)\, dx = C - \log{\left(x \right)}$$

Simplify

The answer [src]

-oo

$$-\infty$$

-oo

$$-\infty$$

Упростить

Numerical answer [src]

-44.0904461339929

-44.0904461339929

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