1. AP Calculus BC
October 10, 2016

2. Entry Task 𝑥+7 𝑑𝑥 𝑥+6 𝑥 𝑑𝑥 sec 𝑦 tan 𝑦 − sec 𝑦 𝑑𝑦
Find the indefinite integral:
𝑥+7 𝑑𝑥
𝑥+6 𝑥 𝑑𝑥
sec 𝑦 tan 𝑦 − sec 𝑦 𝑑𝑦

3. Learning Targets
I understand the relationship between integration and differentiation.
I can solve differential equations.
I explained how to find the indefinite integrals of functions.
I determined the general and particular solution of differential equations.

4. Solving Differential Equations
Solve the differential equation
𝑓 ′′ 𝑥 = 𝑥 2

5. Solve the Differential Equation
𝒇 ′′ 𝒙 = 𝒙 𝟐 , 𝐟 ′ 𝟎 =𝟖, 𝐟 𝟎 =𝟒

6. Practice Problem
A baseball is thrown upward from a height of 2 meters with an initial velocity of 10 meters per second. Determine its maximum height. Use 𝑎(𝑡)= −9.8 𝑚/𝑠2 for the acceleration due to gravity.

7. Homework #17
§4.1, pp : 43, 50, 59, 63, 71, 74, 81, 86