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-3/x
Solving integrals/ -3/x

Integral of -3/x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1       
  /       
 |        
 |  -3    
 |  --- dx
 |   x    
 |        
/         
0
$$\int\limits_{0}^{1} \left(- \frac{3}{x}\right)\, dx$$ 
Integral(-3/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] 
  /                     
 |                      
 | -3                   
 | --- dx = C - 3*log(x)
 |  x                   
 |                      
/
$$\int \left(- \frac{3}{x}\right)\, dx = C - 3 \log{\left(x \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-oo
$$-\infty$$ 
=
= 
-oo
$$-\infty$$ 
-oo
Numerical answer [src] 
-132.271338401979
-132.271338401979
The graph
Integral of -3/x dx

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

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