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1/(x*dx)
Solving integrals/ 1/(x*dx)

Integral of 1/(x*dx) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1     
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0
∫011x dx\int\limits_{0}^{1} \frac{1}{x}\, dx 
Integral(1/x, (x, 0, 1))
Detail solution

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

  2. Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src] 
  /                 
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∫1x dx=C+log⁡(x)\int \frac{1}{x}\, dx = C + \log{\left(x \right)}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9020000-10000
Plot the graph f(x)
The answer [src] 
oo
∞\infty 
=
= 
oo
∞\infty 
oo
Numerical answer [src] 
44.0904461339929
44.0904461339929
The graph
Integral of 1/(x*dx) dx

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

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