Mister Exam

Integral of ctg(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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 |  cot(x) dx
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$$\int\limits_{0}^{1} \cot{\left(x \right)}\, dx$$
Integral(cot(x), (x, 0, 1))
Detail solution
  1. Rewrite the integrand:

  2. Let .

    Then let and substitute :

    1. The integral of is .

    Now substitute back in:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                           
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 | cot(x) dx = C + log(sin(x))
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$$\int \cot{\left(x \right)}\, dx = C + \log{\left(\sin{\left(x \right)} \right)}$$
The graph
The answer [src]
oo
$$\infty$$
=
=
oo
$$\infty$$
oo
Numerical answer [src]
43.9178423877238
43.9178423877238
The graph
Integral of ctg(x) dx

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