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Solving integrals/ 20/x

Integral of 20/x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  5      
  /      
 |       
 |  20   
 |  -- dx
 |  x    
 |       
/        
4
$$\int\limits_{4}^{5} \frac{20}{x}\, dx$$ 
Integral(20/x, (x, 4, 5))
Detail solution

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

    1. The integral of is .

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                     
 |                      
 | 20                   
 | -- dx = C + 20*log(x)
 | x                    
 |                      
/
$$\int \frac{20}{x}\, dx = C + 20 \log{\left(x \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-20*log(4) + 20*log(5)
$$- 20 \log{\left(4 \right)} + 20 \log{\left(5 \right)}$$ 
=
= 
-20*log(4) + 20*log(5)
$$- 20 \log{\left(4 \right)} + 20 \log{\left(5 \right)}$$ 
-20*log(4) + 20*log(5)
Numerical answer [src] 
4.4628710262842
4.4628710262842

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

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