Calculus Essentials
This term is added to your answer when solving an indefinite integral.
What is +C?
This mathematician is known for developing the laws of motion and gravitation, which undoubtedly led to his work in calculus.
Who is Sir Issac Newton?
Define an improper integral.
What is a definite integral that has either or both limits infinite or an integrand that approaches infinity at one or more points in the range of integration?
The limit of (x2-4) / (x2+4) as x approaches 2.
What is 0/8, or 0?
Derivative of secant.
What is sec(x)*tan(x)?
This calculator mode must be used when in Calculus.
What is radian mode?
This mathematician came up with the notation of (dy/dx)
Who is Gottfried Leibniz?
The formula for integration by parts.
What is fg - ∫g’f dx?
Find the derivative of x2-3x+8
What is 2x+3?
This is the formula for the area between two curves.
What is a∫b [f1(x)-f2(x)]dx?
How do you find an integral on your calculator?
What is math 9 or alpha f2/window?
When solving for a limit and you have 0/0 or ∞/∞ you use this person's rule.
What is L'hopital's Rule?
The arc length of Y=-x2+9
0≤ x≤ 3
What is ≈ 9.747
Find the anti derivative of 2x5+4x2
What is ((x6+4x3) / (3)) + C
Two types of discontinuity.
What is Jump, Infinite, Oscillating, and Removable?
These are the steps to solve the Quotient rule.
What is the bottom times the derivative of the top minus the top times the derivative of the bottom over the bottom squared?
(low low low d'high minus high d'low over over over over the square of whats below)
This mathematician has a special case of the Taylor Series named after him.
Who is Colin Maclaurin?
The second term for the Maclaurin Series for the function of sin(x).
What is -(x3/3!)?
If f(x) is increasing, is Left Riemann's Sum and over or under estimate?
What is an under-estimate.
If y=6x-8 and (dx/dt) =3
Find (dy/dt)
What is 18?
This theorem is used to find the derivative of an integral?
What is the Fundamental Theorem of Calculus?
This mathematician came up with a numerical method to solve first order first degree differential equation with a given initial value.
Who is Leonhard Euler?
Whats the difference between AP Calc AB and AP Calc BC?
What is BC is both Calculus 1 and 2 and AB is only calculus 1.
Find the Jerk of the position equation of S=16t2 in feet and t in seconds.
What is 32 feet per second2
Find the polar coordinates, given the rectangular coordinate. (1, 31/2)
What is (2, -π /3)