Formulas - Integrals of Basic trigo

Question 1

∫ sin x dx

Answer 1

-cos x + c

Question 2

∫ cos x dx

Answer 2

sin x + c

Question 3

∫ sec2 x dx

Answer 3

tan x + c

Question 4

∫ csc2 dx

Answer 4

-cot x + c

Question 5

∫ sec x tan x dx

Answer 5

sec x + c

Question 6

∫ csc x cot x dx

Answer 6

-csc x + c

Question 7

∫ tanx dx

Answer 7

-ln cos u + c

or

ln sec x + c

Question 8

∫ cot x dx

Answer 8

ln sin x + c
or
-ln csc x + c

Question 9

∫ csc x dx

Answer 9

ln (csc u - cot u) + c
-ln (csc u + cot u) + c

Question 10

∫ sec x dx

Answer 10

ln (sec x + tan x) + c