Section 4.1 Day 2 Antiderivatives and Indefinite Integration AP Calculus AB

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

More Reps More Weight Find 𝑥 3 𝑦 𝑧 4 𝑑𝑧 Find 2 𝑥 2 + 3 𝑥 4 −1 𝑑𝑥

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

More Reps More Weight Find 𝑡 2 +1 2 𝑑𝑡 Find 𝑥 2 −1 𝑥 3 2 𝑑𝑥

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

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

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

More Reps More Weight Find sec 𝑡 sec 𝑡 + tan 𝑡 𝑑𝑡 Find 1+ tan 2 𝜃 𝑑𝜃

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) 1 3 𝑥 3 + 𝑥 2 +3 C) 1 3 𝑥 3 −𝑥+ 7 3 D) 1 3 𝑥 3 −𝑥+3

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