L'Hopitals rule is used for these types of limits
The formula used to do integration by parts
What is uv - ∫v du ?
∫sin(x)dx
What is -cos(x) + C
The justification required when doing the initial trigonometric substitution
What is θ = arc[trig](x) OR lower bound ≤ θ ≤ upper bound?
The single best subject no diff
What is math?
Note Card 200
The order of priority for choosing 'u' in an integral by parts
What is:
Logarithmic functions
Inverse trigonometric functions
Algebraic functions
Trigonometric functions
Exponential functions?
These are the three Pythagorean identities
What are:
sin2θ + cos2θ = 1,
1 + cot2θ = csc2θ,
and tan2θ + 1 = sec2θ?
cosθ in terms of x given θ = arcsin(3/x)
What is √(x2-9)/x?
This is a common inquiry about the genre of music which is objectively the best (and it's not even close)
"Ya like jazz?"
The justification required when moving the limit inside the function eu or ln(u)
(example: lim(x->2) ex+1 = elim(x->2)(x+1))
What is "By continuity (of ex)"
∫te2tdt
What is 1/2*te2t -1/4*e2t + C
∫tan2x dx
tanx - x + C
The bounds of the below integral after the trig substitution
What are π/4 and π/6?
What is ketchup?
Note Card 400
∫e3xcosx dx
What is 1/10*e3xsinx + 3/10*e3xcosx + C
Note Card 400
1/2*sin(2x) + C
The integrand of ∫√(x2+4)dx in terms of θ
What is 4sec3θ?
The calendar date of "the day before the night before Christmas"
What is December 24th?
Note Card 500
e3
∫ln(x)dx
What is x*ln(x) - x + C
∫sin2x sin2x dx
1/2*sin4x + C
dx in terms of θ if θ = arctan(10x/3)
What is 3/10*sec2θ dθ
The colors of Math, Science, History, and English (as in what color folder or notebook one would use for that subject)
Green, Blue, Yellow, and Red respectively