Math 1B Midterm 1 Flashcards

fuck it we ball

k² - x²

x = ksinθ

x² + k²

x = ktanθ

x² - k²

x = ksecθ

a odd

u = sin x

b odd

u = cosx

-(a+b) even

u = tanx

integral of b^x

b^x / (lnb)

error bound formula midpoint rule

K(b-a)³/(24n²)

error bound trapezoidal rule

K(b-a)³/(12n²)

error bound formula simpsons rule

K(b-a)^5/(180n²)

IBP

int uv’ = uv - int u’v

double angle identity (sin2θ = ?)

2cosθsinθ

x²-1

quadratic

x+1

constant

x

constant

x²

constant

(x+1)²

constant

(x²-1)²

quadratic

concave up on [a,b]

Mn < f(x) < Tn

concave down on [a,b]

Tn < f(x) < Mn

increasing on [a,b]

Ln < f(x) < Rn

decreasing on [a,b]

Rn < f(x) < Ln