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OBJECTIVE TSW (1) evaluate improper integrals, and (2) review for the test covering integration techniques. ASSIGNMENT DUE TOMORROW, FRIDAY, 04/01/16 –Improper Integrals UPCOMING –TEST: Integration Techniques is tomorrow, Friday, 01 April 2016. AP Calculus BC Thursday, 31 March 2016
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WS Integrals of Sine-Cosine Products 1)2) 3)4) 5)6) 7)8)
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WS The Lostistics Curve 1)a)y = 5 b)L = 12c)k = 1 d)t = 0.336e) 2)a)y = 1b)L = 1000c)k = 0.9 d)t = 8.895e) 3)a)L = 10b)k = 10c)5 4)a)L = 50,000b)k = 50c)25,000 5)a)k = 0.115b) d) # infected day 0 5 10 14 93 20
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TEST TOPICS – Integration Techniques Evaluate integrals Basic integration Integration by parts Let the "easily integrated" part be dv and the "easily derivatized" part be u.
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TEST TOPICS – Integration Techniques Evaluate integrals (continued) Integrals with powers of sine and/or cosine Convert cos 2 θ and sin 2 θ to “usable” forms. Integrals with sine and/or cosine of differing arguments "Sally Says: Charge My Card" "Sally Can Sing Pig Songs" "Cousin Carl Collects Pork Cars"
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TEST TOPICS – Integration Techniques Evaluate integrals (continued) Trigonometric substitution and integration Partial fractions (linear, multiplicity one)
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TEST TOPICS – Integration Techniques Solve logistic curve problems. Use l’Hôpital’s Rule to evaluate limits. Evaluate improper integrals Infinite limits Infinite discontinuities
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TEST TOPICS – Integration Techniques Reminder: Know the derivatives and integrals of the six trig functions and their inverses. The test will be part with calculator, part without. When you take the test, MANAGE YOUR TIME ACCORDINGLY!!! Wear your FALCON CALCULUS t-shirt. Questions?
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