Trig. Integrals

Question 1

∫ tan x dx =

Answer 1

=> - ln | cos x | + C

= ln | sec x | + C

Question 2

∫ cot x dx =

Answer 2

=> ln | sin x | + C

= - ln | csc x | + C

Question 3

∫ sec x dx =

Answer 3

=> ln | sec x + tan x | + C

= - ln | sec x - tan x | + C

Question 4

∫ csc x dx =

Answer 4

=> ln | csc x - cot x | + C

= - ln | csc x + cot x | + C