calculus

Assignment 3

 

Name:

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 on 4: Find the exact length of the curve 𝑦2 = (5𝑥 + 3) for 1 ≤ 𝑥 ≤ 2.