Mister Exam

Integral of 6/x dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  1     
  /     
 |      
 |  6   
 |  - dx
 |  x   
 |      
/       
0       
$$\int\limits_{0}^{1} \frac{6}{x}\, dx$$
Integral(6/x, (x, 0, 1))
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]
  /                   
 |                    
 | 6                  
 | - dx = C + 6*log(x)
 | x                  
 |                    
/                     
$$\int \frac{6}{x}\, dx = C + 6 \log{\left(x \right)}$$
The graph
The answer [src]
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$$\infty$$
=
=
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$$\infty$$
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Numerical answer [src]
264.542676803957
264.542676803957
The graph
Integral of 6/x dx

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