What is the integral of sec(θ) ?

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

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integral of sec(θ)

\int sec (θ) d θ

ln ∣ tan (θ) + sec (θ) ∣ + C

Solution steps

\int sec (θ) d θ

Use the common integral:

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

= ln ∣ tan (θ) + sec (θ) ∣

Add a constant to the solution

= ln ∣ tan (θ) + sec (θ) ∣ + C

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