integral identities

Question 1

∫sec(θ) dθ

Answer 1

ln|sec(θ) + tan(θ)| + C

Question 2

∫tan(θ) dθ

Answer 2

-ln|cos(θ)| + C

Question 3

∫sin^3(θ) dθ

Answer 3

⅓cos^3(θ) - cos(θ) + C

Question 4

∫sec^3(θ) dθ

Answer 4

½( sec(θ)tan(θ) + ln|sec(θ) + tan(θ)| + C )