Integration and accumulation of change
---Instructional Videos
Exploring accumulations of change
Approximating areas with Riemann sums
--Right Riemann sum in summation notation
--Left Riemann sum in summation notation
--Midpoint Riemann sum in summation notation
--Summation notation to integral notation (sin)
--Integral notation to summation notation
The fundamental theorem of calculus and accumulation functions involving area
Applying properties of definite integrals
The fundamental theorem of calculus and definite integrals
Finding antiderivatives and indefinite integrals: basic rules and notation: Reverse power rule
Finding antiderivatives and indefinite integrals: basic rules and notation: Common indefinite integrals
Finding antiderivatives and indefinite integrals: basic rules and notation: definite integrals
Integrating using substitution
--u-sub
--u-sub (trig)
--Definite integral with u-sub (trig and fraction)
Integrating functions using long division and completing the square
--Long division
--Completing the square
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Review
--AP Multiple Choice Review Part 1 (#1-10)
--AP Multiple Choice Review Part 2 (#11-20)
—Practice Exam
#1 midpoint Riemann
#2 indefinite integral
#3 trig
#4 definite integral trig
#5 definite integral polynomial
#6 definite integral fraction
#7 definite integral w/ k
#8 piecewise integral with graph
#9 definite integral with e
#10 definite integral w/ laws
#11 extreme value with integral function
#12 facts about integral
#13 integral with abs val
#14 integral with abs val and graph
#15 integral as area
#16 trapezoidal rule
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Extra Review
# Intro to the antiderivative
# antiderivative with negative expos
# antiderivative with fraction expo and dx in fraction
# anti-derivative with a fraction
# u-sub intro
# u-sub picking the "u"
# u-sub picking the "u" part 2
# u-sub with a nasty fraction
# u-sub with trig (boring)
# u-sub with trig (hard)
# u-sub with e^x (simple)
# u-sub with e^x (hard)
#881 u-sub w/ a radical
#883 Simplifying before integrating
#911-916 Definite integrals
#911-916 Estimating area with Riemann Sums
#911 Are under function (w/ neg area)
# Integrals (geometry, splitting up, etc.)