calc random bs

taylor remainder theorem

Alternating series error

error is less than or equal to the next term

e^x

sin(x)

cos(x)

dP/dt

kP(M-P)
where M is carrying capacity, P is population

P

euler method

taylor series

maclaurin series

taylor series where c=0

arc length / distance traveled (parametric)

speed (parametric)

polar area

r² (polar)

x²+y²

x (polar)

r cos(theta)

y (polar)

r sin(theta)

theta

arctan (y/x)

nTT

geometric series test

p-series

AST

if a_n is an alternating ((-1)^n), decreasing, and lim of N to infinity = 0, then C

ratio test

direct comparison test

if a series has smaller terms than a known convergent series, it converges
if a series has bigger terms than a known divergent series, it diverges

limit comparison test

integral test