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1/x(x+1)
Solving integrals/ 1/x(x+1)

Integral of 1/x(x+1) dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1         
  /         
 |          
 |  x + 1   
 |  ----- dx
 |    x     
 |          
/           
0
$$\int\limits_{0}^{1} \frac{x + 1}{x}\, dx$$ 
Integral((x + 1)/x, (x, 0, 1))
Detail solution

  1. Rewrite the integrand:

  2. Integrate term-by-term:

    1. The integral of a constant is the constant times the variable of integration:

    1. The integral of is .

    The result is:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                         
 |                          
 | x + 1                    
 | ----- dx = C + x + log(x)
 |   x                      
 |                          
/
$$\int \frac{x + 1}{x}\, dx = C + x + \log{\left(x \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
oo
$$\infty$$ 
=
= 
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$$\infty$$ 
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Numerical answer [src] 
45.0904461339929
45.0904461339929
The graph
Integral of 1/x(x+1) dx

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

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