Integral
Formulas
Derivatives
Trig Identities
Theorems
100
f(x)^k + C
What is the integral of kf(x) dx?
100
Derivative of acceleration
What is Jerk?
100
du+dv
What is the derivative of (u + v)?
100
sin(x)/cos(x)
What's equivalent to tan(x)?
100
If f is continuous on the closed interval [a, b], then f has both a maximum and a minimum on the interval.
What is the Extreme Value Theorem?
200
ln(u) + C
What is the integral of 1/u du?
200
dy/du * du/dx
What is the chain rule?
200
-sin(u) du
What is the derivative of cos(u)?
200
sin2 θ + cos2 θ = 1
What is the Pythagorean identity?
200
If f is continuous on the closed interval [a,b] and k is any number between f(a) and f(b) then there is at least one number c in [a, b] such that f(c) = k
What is the Intermediate Value Theorem?
300
cos(u) + C
What is the integral of sin(u) du?
300
What is the trapezoidal rule?
300
csc^2(u) du
What is the derivative of -tan(u)?
300
sec2 θ − 1
What is equivalent to tan2θ?
300
If f is continuous on [a, b], then the function g defined by g(x) = a Z x f (t) dt a ≤ x ≤ b is continuous on [a, b] and differentiable on (a, b), and g 0 (x) = f (x).
What is the Fundamental Theorem of Calculus Part 1?
400
a^u/(lna) + C
What is the integral of a^u du?
400
ln(2/k)
What is the Half-life rule?
400
ln(a) * a^u du
What is the derivative of a^u?
400
+_√(1+cosx)/2
What is equivalent to sin(x/2)?
400
If f is continuous on an open interval containing a, then for every x in the interval the derivative of the the integral of f(x) dx on said interval is equal to f(x)
What is the Mean Value Theorem?
500
-ln|csc(u) + cot(u)| + C
What is the integral of csc(u) du?
500
L(x) = f(a) + f’(a)(x-a)
What is the law of exponential change?
500
-u’/(lul * √u^2-1) du
What is the derivative of arccsc(u)?
500
sinAcosBcos+_AsinB
What is equivalent to sin(A + B)?
500
If f(x)≤g(x)≤h(x) for all numbers, and at some point x=k we have f(k)=h(k), then g(k) must also be equal to them
What is the Squeeze Theorem?