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calculus

Assignment 3
 
Name:
Student ID:
 
Question 1: Evaluate the following integral
∫ (3π‘₯ + 2) βˆ™ 𝑒π‘₯𝑑π‘₯ 0
βˆ’βˆž
 
 
Question 2: Evaluate the following integral
∫ 𝑑π‘₯
√2π‘₯ + 4
1
βˆ’2
 
 
Question 3: Find the area of the surface by rotating the curve
𝑦 = 1
4 π‘₯2 βˆ’
1
2 𝑙𝑛π‘₯ for 1 ≀ π‘₯ ≀ 2
about the y-axis.
 
Question on 4: Find the exact length of the curve 𝑦2 = (5π‘₯ + 3)Β for 1 ≀ π‘₯ ≀ 2.
 

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