This theorem allows calculations of area using
anti-derivatives.
What is The Fundamental Theorem
of Calculus?
“There is a c between a and b so that the tangent slope is the same as the secant slope” is
the conclusion of this theorem.
What is The Mean Value Theorem?
This theorem can be used to show that a continuous function must have a zero
on a specific interval.
What is the Intermediate Value Theorem?
What the theorem of integration of even and odd functions says that
. is equal to for an odd function.
What is Zero?
a
a
f (x)dx
This is the sum of areas of rectangles whose heights are the outputs of a function.
What is a Riemann Sum?
defines this value.
What is the average value of f(x) [on the interval from a to b] ?
b
a
1f (x)dx
b a
This technique determines if a critical point is a relative extrema by checking the concavity at that point.
What is the Second Derivative Test?
This technique generates the formula for exponential
growth and is used to solve some differential equations.
What Separation of Variables?
In order to create a simpler integrand, one might use this
technique to rewrite the following:
What is u-substitution?
1
dxx 1 x
A simple method used to approximate a definite integral.
Even an elementary school student could use this method.
What is counting squares?
A conditional statement whose “if” and “then” parts
have been switched.
What is the converse of the statement?
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