Mister Exam

Integral of cscxcotx dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

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01cot(x)csc(x)dx\int\limits_{0}^{1} \cot{\left(x \right)} \csc{\left(x \right)}\, dx
Integral(csc(x)*cot(x), (x, 0, 1))
Detail solution
  1. The integral of a constant times a function is the constant times the integral of the function:

    cot(x)csc(x)dx=(cot(x)csc(x))dx\int \cot{\left(x \right)} \csc{\left(x \right)}\, dx = - \int \left(- \cot{\left(x \right)} \csc{\left(x \right)}\right)\, dx

    1. The integral of cosecant times cotangent is cosecant:

      (cot(x)csc(x))dx=csc(x)\int \left(- \cot{\left(x \right)} \csc{\left(x \right)}\right)\, dx = \csc{\left(x \right)}

    So, the result is: csc(x)- \csc{\left(x \right)}

  2. Add the constant of integration:

    csc(x)+constant- \csc{\left(x \right)}+ \mathrm{constant}


The answer is:

csc(x)+constant- \csc{\left(x \right)}+ \mathrm{constant}

The answer (Indefinite) [src]
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 | csc(x)*cot(x) dx = C - csc(x)
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cot(x)csc(x)dx=Ccsc(x)\int \cot{\left(x \right)} \csc{\left(x \right)}\, dx = C - \csc{\left(x \right)}
The graph
0.001.000.100.200.300.400.500.600.700.800.90-100000000100000000
The answer [src]
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Numerical answer [src]
1.3793236779486e+19
1.3793236779486e+19
The graph
Integral of cscxcotx dx

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