Integration C4

Question 1

y’ = tan x

Answer 1

y = ln(|sec x|) + C

Question 2

y’ = sec x

Answer 2

y = ln(|sec x + tan x|) + C

Question 3

y’ = cot x

Answer 3

y = ln(|sin x|) + C

Question 4

y’ = cosec x

Answer 4

y = -ln( cosec x + cot x) + C

Question 5

y’ = ln x

Answer 5

y = x ln x - x = x (ln x - 1)