What is the integral of (sech(x)) ?

The integral of (sech(x)) is arctan(sinh(x))+C

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integral of (sech(x))

\int (sech (x)) d x

arctan (sinh (x)) + C

Solution steps

\int sech (x) d x

Use the common integral:

\int sech (x) d x = arctan (sinh (x))

= arctan (sinh (x))

Add a constant to the solution

= arctan (sinh (x)) + C

8 e^{π - t}

\int sin (8 x) cos (12 x) d x

ln (x), 4

g (x) = 1 - 2 x - x^{(2)}

\frac{d y}{d x} = - \frac{x e ^{- x^{2}}}{y}

What is the integral of (sech(x)) ?
The integral of (sech(x)) is arctan(sinh(x))+C