MA 102 Calculus II
MA 102 Calculus II
Assignment 3
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Student ID:
Question 1: Evaluate the following integral
∫ (3𝑥 + 2) ∙ 𝑒𝑥𝑑𝑥 0
−∞
Question 2: Evaluate the following integral
∫ 𝑑𝑥
√2𝑥 + 4
1
−2
Question 3: Find the area of the surface by rotating the curve
𝑦 = 1
4 𝑥2 −
1
2 𝑙𝑛𝑥 for 1 ≤ 𝑥 ≤ 2
about the y-axis.
Question 4: Find the exact length of the curve 𝑦2 = (5𝑥 + 3)3 for 1 ≤ 𝑥 ≤ 2.