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(1+x)/x

Integral of (1+x)/x dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  1         
  /         
 |          
 |  1 + x   
 |  ----- dx
 |    x     
 |          
/           
0           
$$\int\limits_{0}^{1} \frac{x + 1}{x}\, dx$$
Integral((1 + x)/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]
  /                         
 |                          
 | 1 + x                    
 | ----- dx = C + x + log(x)
 |   x                      
 |                          
/                           
$$\int \frac{x + 1}{x}\, dx = C + x + \log{\left(x \right)}$$
The graph
The answer [src]
oo
$$\infty$$
=
=
oo
$$\infty$$
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Numerical answer [src]
45.0904461339929
45.0904461339929
The graph
Integral of (1+x)/x dx

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