Transcript Ch 5 Review Thurs Feb 28

Ch 5 Review
Thurs Feb 19
Do Now
Evaluate the integrals
1)
2)
òx
2
sec (9x +1) dx
2
3
ò tan 2x dx
HW Review:
Ch 5 Review
• 5.1 Rectangle Approximations
– Left, Right, Midpoint approximations
• 5.2 Properties of Integrals
– Switching bounds, breaking up integrals, etc
• 5.3-5.4 FTC Part 1 and 2
– Use FTC then can use calculator
• 5.5 Net Change as Integral of Rate
– Displacement vs Total Distance (absolute value)
• 5.6 Integration by Substitution
– Won’t be definite integrals
• 5.7 Other Integrals
– Inverse Trig, Other base exponential integrals
Ch 5 Test
• NO notecard
• Graphing Calculator – Yes
– Set up integral, integrate, and show F(b) – F(a)
• 8 Questions
– Some with several parts
– No multiple choice
• Integrals
– Make sure you know how to break up integrals,
rearrange integrals, etc
– Make sure you understand how FTC Part 1 and 2 work
Review Topics
Closure
• From sections 5.1-5.8, what 1-2 sections do
you want to review the most? Why?
• HW: Ch5 AP Questions MC 1-20 due Thurs
FRQ 1-4 due Fri
• Test Tues Feb 24
Ch 5 Review
Fri Feb 20
• Do Now
• On a typical day, a city consumes water at the
rate of r(t) = 100 + 72t - 3t^2 (in thousands of
gallons), where t is the number of hours past
midnight. How much water is consumed
between 6pm and midnight?
AP Registration
• Deadline to register:
Section count
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5.1 iii
5.2 vi
5.3 ii
5.4 viii
5.5 viiii
5.6 vi
5.7 xiii
5.8 xv
HW Review: Ch5 AP
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2) D
4) D
6) B
8) C
9) D
10) A
12) B
14) C
16) E
18) D
20) C
2a) all real numbers
b) [0, infinity)
c) 16
4a) –pi/4
b) g’ exists for (0,10)
c) g’’ fails at x = 2 and 6
not differentiable
d) 3 solutions
Calculator Integral
• Math -> fnInt(f(x),x,a,b)
Ch 5 Test
• NO notecard
• Graphing Calculator – Yes
– Set up integral, integrate, and show F(b) – F(a)
• 8 Questions
– Some with several parts
– No multiple choice
• Integrals
– Make sure you know how to break up integrals,
rearrange integrals, etc
– Make sure you understand how FTC Part 1 and 2 work
Closure
• What are integrals? How are they useful?
• Ch 5 Test Tues Feb 24