MA 102 Calculus II

MA 102 Calculus II

Assignment 3

 

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Question 1: Evaluate the following integral

โˆซ (3๐‘ฅ + 2) โˆ™ ๐‘’๐‘ฅ๐‘‘๐‘ฅ 0

โˆ’โˆž

 

 

Question 2: Evaluate the following integral

โˆซ ๐‘‘๐‘ฅ

โˆš2๐‘ฅ + 4

1

โˆ’2

 

 

Question 3: Find the area of the surface by rotating the curve

๐‘ฆ = 1

4 ๐‘ฅ2 โˆ’

1

2 ๐‘™๐‘›๐‘ฅ for 1 โ‰ค ๐‘ฅ โ‰ค 2

about the y-axis.

 

Question 4: Find the exact length of the curve ๐‘ฆ2 = (5๐‘ฅ + 3)3 for 1 โ‰ค ๐‘ฅ โ‰ค 2.

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