Mister Exam

Integral of dy/y dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1     
  /     
 |      
 |  1   
 |  - dy
 |  y   
 |      
/       
0       
$$\int\limits_{0}^{1} \frac{1}{y}\, dy$$
Integral(1/y, (y, 0, 1))
Detail solution
  1. The integral of is .

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                 
 |                  
 | 1                
 | - dy = C + log(y)
 | y                
 |                  
/                   
$$\int \frac{1}{y}\, dy = C + \log{\left(y \right)}$$
The graph
The answer [src]
oo
$$\infty$$
=
=
oo
$$\infty$$
oo
Numerical answer [src]
44.0904461339929
44.0904461339929
The graph
Integral of dy/y dx

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