stuff to know for calc to get speedy at math

trig identities, derivatives, integrals all that fun stuff <3

sin(2x)

2sin(x)cos(x)

cos(2x)

cos²(x)sin²(x)

1-2sin²(x)

cos(2x)

cos(2x)

2cos²(x)-1

derivative of (1/a)(arctan(x/a))

1/(x²+a²)

derivative of secx

secxtanx

derivative of cscx

-cscxcotx

derivative of tan x

sec²x

derivative of cotx

-csc²x

derivative of cosx

-sinx

derivative of sinx

cosx

integral of tanxdx

-ln|cosx|+C

integral of cotxdx

ln|sinx|+C

integral of secxdx

ln|secx+tanx|+C

integral of cscxdx

-ln |cscx + cotx| + C

integral of a^x dx

a^x/lna

integral of e to the x dx

e to the x

derivative of e to the kx

k * e to the kx

derivative of arcsin(x/a)

1/(sqrt(a²-x²))

derivative of arccos(x/a)

-1/(sqrt(a²-x²))

derivative of arccot(x/a)

-1/(x²+a²)

area of an equilateral triangle

s²sqrt3/4

area of a right triangle

0.5s²

area of a semicircle

pi/8 * s²

area of an isosceles right triangle

s²/4

area of a trapezoid

h/2 * (base + top length)