need to get all the answers for this lab 7. thank you. calc 1 needed

 

 

There are several formulas from geometry that allow us to calculate areas of certain plane regions.
We will develop some methods that use calculus to find areas of plane regions. These methods
enable us to go beyond the scope of the geometric formulas and even find areas of regions that are
bounded by curves instead of by straight lines.
Review of Geometric Methods
Find the area of the shaded region below. This shaded area can be described as the area bounded by the function f ( x) 2 x 3 between
x = 1 and x = 4.
a. What two basic geometric shapes can be used to divide the above region? b. Find the area of each of the two geometric shapes from part (a). c. Find the total area of the shaded region. d. Do you remember any other methods of finding the area of a shape like above? Riemann Sums
Let’s reconsider the previous problem, but using a series of rectangles to approximate the area.
Note: Each rectangle has a height determined by the value of f (x

Attachments:

• 1492736826-Lab 7 Integration 1.docx