What is the integral of csch(x) ?

The integral of csch(x) is ln(tanh(x/2))+C

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integral of csch(x)

\int csch (x) d x

ln (tanh (\frac{x}{2})) + C

Solution steps

\int csch (x) d x

Use the common integral:

\int csch (x) d x = ln (tanh (\frac{x}{2}))

= ln (tanh (\frac{x}{2}))

Add a constant to the solution

= ln (tanh (\frac{x}{2})) + C

3 x + \frac{x ^{\frac{1}{3}}}{3}

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