What is the integral of sec(w) ?

The integral of sec(w) is ln|tan(w)+sec(w)|+C

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integral of sec(w)

\int sec (w) d w

ln ∣ tan (w) + sec (w) ∣ + C

Solution steps

\int sec (w) d w

Use the common integral:

\int sec (w) d w = ln ∣ tan (w) + sec (w) ∣

= ln ∣ tan (w) + sec (w) ∣

Add a constant to the solution

= ln ∣ tan (w) + sec (w) ∣ + C

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