Mister Exam

Integral of 1/z dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
 1 + 2*I    
    /       
   |        
   |    1   
   |    - dz
   |    z   
   |        
  /         
  1         
$$\int\limits_{1}^{1 + 2 i} \frac{1}{z}\, dz$$
Integral(1/z, (z, 1, 1 + 2*i))
Detail solution
  1. The integral of is .

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                 
 |                  
 | 1                
 | - dz = C + log(z)
 | z                
 |                  
/                   
$$\int \frac{1}{z}\, dz = C + \log{\left(z \right)}$$
The answer [src]
log(1 + 2*I)
$$\log{\left(1 + 2 i \right)}$$
=
=
log(1 + 2*I)
$$\log{\left(1 + 2 i \right)}$$
log(1 + 2*i)
Numerical answer [src]
(0.80471895621705 + 1.10714871779409j)
(0.80471895621705 + 1.10714871779409j)

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