Integrals of Trigonometric Functions

Question 1

∫ sin u du

Answer 1

= -cos u +C

Question 2

∫ cos u du

Answer 2

= sin u +C

Question 3

∫ tan u du

Answer 3

= ln |sec u| +C

= -ln |cos u| +C

Question 4

∫ cot u du

Answer 4

= -ln |csc u| +C

= ln|sin u| +C

Question 5

∫ sec u du

Answer 5

= ln |sec u + tan u| +C

Question 6

∫ csc u du

Answer 6

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