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1+1/x

Integral of 1+1/x dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

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

  2. Add the constant of integration:


The answer is:

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

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