Trig Derivatives and Integrals (Eyeroll Emoji)

d/dx (sin x)

cos x

d/dx (cos x)

-sin x

d/dx (tan x)

sec² x

d/dx (cot x)

csc x

d/dx (sec x)

sec x tan x

d/dx (csc x)

-csc x cot x

d/dx (arcsin x)

1/sqrt(1-x²)

d/dx (arccos x)

-1/(sqrt(1-x²)

d/dx (arctan x)

1/(1+x²)

d/dx (arcsec x)

1/(|x|sqrt(1-x²))

d/dx (arccsc x)

-1/(|x|sqrt(1-x²))

d/dx (arccot x)

-1/(1+x²)

d/dx e^x

e^x

d/dx a^x

a^x ln(x)

d/dx ln(x)

1/x

d/dx loga(x)

1/x(ln(a))

∫ (cos x) dx

sin x + C

∫ (sin x) dx

-cos x + C

∫ (sec² x) dx

tan x + C

∫ (sec x tan x) dx

sec x + C

∫ (csc x cot x) dx

-csc x + C

∫ (csc² x) dx

-cot x + C

∫ (1/x) dx

ln|x| + C

∫ (e^x) dx

e^x + C

∫ (a^x) dx

a^x / ln(a) + C

∫ (1/(sqrt(1-x²)) dx

sin^(-1) x + C

∫ (1 / ( |x| sqrt(x²-1) ) ) dx

sec^(-1) x + C

∫ (