Mister Exam

Integral of dp/p dp

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
 100    
  /     
 |      
 |  1   
 |  - dp
 |  p   
 |      
/       
95      
$$\int\limits_{95}^{100} \frac{1}{p}\, dp$$
Integral(1/p, (p, 95, 100))
Detail solution
  1. The integral of is .

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                 
 |                  
 | 1                
 | - dp = C + log(p)
 | p                
 |                  
/                   
$$\int \frac{1}{p}\, dp = C + \log{\left(p \right)}$$
The graph
The answer [src]
-log(95) + log(100)
$$- \log{\left(95 \right)} + \log{\left(100 \right)}$$
=
=
-log(95) + log(100)
$$- \log{\left(95 \right)} + \log{\left(100 \right)}$$
-log(95) + log(100)
Numerical answer [src]
0.0512932943875505
0.0512932943875505

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