4.3 AP Calc Riemann Sums and Definite Integrals.notebook
December 01, 2016
4.3 Riemann Sums and Definite Integrals
Learning Targets
1. Understand the definition of a Riemann sum
2. Evaluate a definite integral using areas
3. Evaluate a definite integral using properties Intro/Warm­up
1
4.3 AP Calc Riemann Sums and Definite Integrals.notebook
December 01, 2016
∫ Understand the definition of a Riemann sum
I.Understand the definition of a Riemann sum
2
4.3 AP Calc Riemann Sums and Definite Integrals.notebook
December 01, 2016
1. Find the definite integral using the limit definition:
1. Find definite integral using limit definition
3
4.3 AP Calc Riemann Sums and Definite Integrals.notebook
December 01, 2016
∫ ∫ Evaluate a definite integral using areas
There is an easier way to evaluate
II.Evaluate a definite integral using areas
4
4.3 AP Calc Riemann Sums and Definite Integrals.notebook
December 01, 2016
∫ ∫ Evaluate a definite integral using areas
2. Set up a definite integral but do not solve for the area of above the x‐axis.
II.Evaluate a definite integral using areas
5
4.3 AP Calc Riemann Sums and Definite Integrals.notebook
December 01, 2016
∫ ∫ Evaluate a definite integral using areas
3. Evaluate the definite integrals using the area of a region.
II.Evaluate a definite integral using areas
6
4.3 AP Calc Riemann Sums and Definite Integrals.notebook
December 01, 2016
∫∫∫ Evaluate a definite integral using properties III.Evaluate a definite integral using properties 7
4.3 AP Calc Riemann Sums and Definite Integrals.notebook
December 01, 2016
∫∫∫ Evaluate a definite integral using properties 4. Evaluate the definite integral
if we know
III.Evaluate a definite integral using properties 8
4.3 AP Calc Riemann Sums and Definite Integrals.notebook
December 01, 2016
∫∫∫ Evaluate a definite integral using properties 5. Find the following definite integrals if we know
a.
b.
c.
d.
III.Evaluate a definite integral using properties 9
4.3 AP Calc Riemann Sums and Definite Integrals.notebook
December 01, 2016
∫∫∫ Evaluate a definite integral using properties 6.
III.Evaluate a definite integral using properties 10
4.3 AP Calc Riemann Sums and Definite Integrals.notebook
December 01, 2016
Your Homework
AB Calculus 4.3 p.278
#4,13,18‐48(x3),49,51,52,57,65‐70, 75,76,78
BC Calculus Ch. 10 Review p.758 (2 day)
#4,7‐9,14,15,17,19,21,24,25,28,31,35,41,
47,54,55,57,58,62,67,73,76,79,81‐85,95,9
8,99,102,103,106,107,112,115,121,123
Homework
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