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(theta) with respect to theta

\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

- \frac{d}{d x} y = csc^{2} (x)

\frac{1}{( x ^{- 2} )}

- \frac{d}{d x} (sin (2 x))

- \frac{d}{d x} (\frac{1}{( 1 + x ^{2} )})

- \frac{d}{d x} y = 5 x

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