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Unit 4 - Integration
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Terms in this set (16)
Bounds (or Limits) of Integration
the bounds of integration of a definite integral; usually represented by a and b
Antiderivative of a Function
a function that has a given function as its derivative
Definite Integral
an integral which is evaluated over an interval
First Order Differential Equation
a differential equation in which the highest derivative is a first derivative
Fundamental Theorem of Calculus
the theorem that establishes the connection between derivatives, antiderivatives, and definite integrals
Indefinite Integral
the family of functions that have a given function as a common derivative
Indefinite Integral Rules
rules that can help simplify integrals; including constant rule and sum/difference rule
Integrable Function
a function for which the definite integral exists
Integrand
the function being integrated in either a definite or indefinite integral
Integration
the process of finding an integral, either a definite integral or an indefinite integral
Integration by Substitution
an integration method that essentially involves using the chain rule in reverse
Mean Value Theorem for Integrals
a variation of the Mean Value Theorem which guarantees that a continuous function has at least one point where the function equals the average value of the function
Riemann Sum
an approximation of a definite integral
Separable Differential Equation
a first order ordinary differential equation which can be solved by separating all occurrences of the two variables on either side of the equal sign and then integrating
Sigma Notation
a notation using the Greek letter sigma (Σ) that allows a long sum to be written compactly
Trapezoid Rule
a method for approximating a definite integral using linear approximations
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