Diff Eq Trig Integration Identities

Question 1

∫sin x dx

Answer 1

-cos x + C

Question 2

∫csc x dx

Answer 2

-ln |csc x + cot x| + C

Question 3

∫cos x dx

Answer 3

sin x + C

Question 4

∫sec x dx

Answer 4

ln |sec x + tan x| + C

Question 5

∫tan x dx

Answer 5

-ln |cos x| + C

Question 6

∫cot x dx

Answer 6

ln |sin x| + C

Question 7

∫csc x * cot x dx

Answer 7

-csc x + C

Question 8

∫sec x * tan x dx

Answer 8

sec x + C

Question 9

∫sec^2 x dx

Answer 9

tan x + C

Question 10

∫csc^2 dx

Answer 10

-cot x + C

Question 11

∫ 1 / sqrt(1 - x^2) dx

Answer 11

arcsin x + C

Question 12

∫ 1 / (x * sqrt(x^2 - 1) dx

Answer 12

arcsec|x| + C

Question 13

∫ 1 / (1 + x^2) dx

Answer 13

arctan x + C