4.6 integrals of trig functions

Question 1

∫ sin(u) du

Answer 1

-cos(u)+C

Question 2

∫ tan(u) du

Answer 2

-ln|cos(u)|+C
ln|sec(u)|+C

Question 3

∫ sec(u) du

Answer 3

ln|sec(u)+tan(u)|+C

Question 4

∫ cos(u) du

Answer 4

sin(u)+C

Question 5

∫ cot(u) du

Answer 5

ln|sin(u)|+C
-ln|csc(u)|+C

Question 6

∫ csc(u) du

Answer 6

-ln|csc(u)+cot(u)|+C

Question 7

bonus:
derivative of arcsec(u)

Answer 7

u’/(|u|sqrt(u^2–1))