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1+1/x
Solving integrals/ 1+1/x

Integral of 1+1/x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
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∫01(1+1x) dx\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 dx=x\int 1\, dx = x

    1. The integral of 1x\frac{1}{x} is log⁡(x)\log{\left(x \right)}.

    The result is: x+log⁡(x)x + \log{\left(x \right)}

  2. Add the constant of integration:

    x+log⁡(x)+constantx + \log{\left(x \right)}+ \mathrm{constant}

The answer is:

x+log⁡(x)+constantx + \log{\left(x \right)}+ \mathrm{constant}

The answer (Indefinite) [src] 
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∫(1+1x) dx=C+x+log⁡(x)\int \left(1 + \frac{1}{x}\right)\, dx = C + x + \log{\left(x \right)}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-1000010000
Plot the graph f(x)
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.

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