calculus

Assignment 3

 

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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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