Calc BC — Unit 6 Integration (Trig)

∫sin u du

-cos u + c

∫tan u du

ln |sec u| + c

∫sec u du

ln |sec u + tan u| + c

∫cos u du

sin u + c

∫cot u du

ln |sin u| + c

∫csc u du

-ln |csc u + cot u| + c

∫e^u du

e^u + c

∫du/u

ln |u| + c

∫a^u du

(a^u / ln a) + c

∫[1 / (1 + x²)] dx

tan^-1 x + c

∫[1 / √(1 - x²)] dx

sin^-1 x + c

∫[1 / (x√(1 - x²))] dx

sec^-1 x + c

sin²x + cos²x = …

1

sin 2x = …

2 sin x cos x

sin²x = …

(1 - cos2x) / 2

cos²x = …

(1 + cos2x) / 2

cos 2x = …

cos²x - sin²x

1 + tan²x = …

sec²x

sec²x = …

1 + tan²x

cot²x + 1 = …

csc²x

csc²x = …

cot²x + 1

if power of sin is odd, u = …

cos x

if power of cos is odd, u = …

sin x

sin x cos x = …

½ sin 2x

if power of tan is odd, u = …

sec x

if power of sec is even, u = …

tan x

when √(a²-x²), x = …

a sin ⍬

when √(a²+x²), x = …

a tan ⍬

when √(x²-a²), x = …

a sec ⍬