1. Section 4.1 Day 2 Antiderivatives and Indefinite Integration
AP Calculus AB

2. Problem 1
Find 𝑥 𝑑𝑥
A) 2 𝑥 +𝐶
B) 4 𝑥 +𝐶
C) 2 𝑥 +𝐶
D) 4 𝑥 +𝐶

3. More Reps
More Weight
Find 𝑥 3 𝑦 𝑧 4 𝑑𝑧
Find 𝑥 𝑥 4 −1 𝑑𝑥

4. Problem 2 Find 𝑥 3 −2 𝑥 2 +1 𝑥 2 𝑑𝑥 A) 𝑥−2+ 𝑥 −2 +𝐶
C) 𝑥 2 −2𝑥+𝑥+𝐶
D) 𝑥 2 −2𝑥+𝐶

5. More Reps
More Weight
Find 𝑡 𝑑𝑡
Find 𝑥 2 −1 𝑥 𝑑𝑥

6. Problem 3 Find 1 1− cos 2 𝑥 𝑑𝑥 A) sin 𝑥 +𝐶 B) sec 2 𝑥 +𝐶 C) − cot 𝑥 +𝐶
D) sec 𝑥 tan 𝑥 +𝐶

7. More Reps More Weight Find sin 𝑥 cos 2 𝑥 𝑑𝑥
Find cos 2 𝑥 + sin 2 𝑥 cos 2 𝑥 𝑑𝑥

8. Problem 4 Find sec 2 𝑥 − sin 𝑥 𝑑𝑥 A) tan 𝑥 + cos 𝑥 +𝐶
B) tan 𝑥 − cos 𝑥 +𝐶
C) sec 𝑥 tan 𝑥 + sin 𝑥 +𝐶
D) cos 2 𝑥 + cos 𝑥 +𝐶

9. More Reps
More Weight
Find sec 𝑡 sec 𝑡 + tan 𝑡 𝑑𝑡
Find tan 2 𝜃 𝑑𝜃

10. Problem 5 A) − 1 3 𝑥 3 +𝑥+𝐶 B) 1 3 𝑥 3 + 𝑥 2 +3 C) 1 3 𝑥 3 −𝑥+ 7 3
Find 𝑥 2 −1 𝑑𝑥 which has an initial condition of (−1, 3).
A) − 1 3 𝑥 3 +𝑥+𝐶
B) 𝑥 3 + 𝑥 2 +3
C) 𝑥 3 −𝑥+ 7 3
D) 𝑥 3 −𝑥+3

11. Exit Ticket for Homework
Worksheet Provided