To find: Describing the process of the area of region bounded by the graph of a nonnegative, continuous function
Answer to Problem 49E
The area of region is
Explanation of Solution
Given information:
The given continuous function, the x-axis and the vertical lines
Concept used:
The Area Problem;
Let
Its area by using a geometric formula and different approach like as the limit of a summation.
Using an equal width accumulation of rectangles,
The length of the interval over the x-axis is
The area of the region bounded by the graph of
The dimensions of the n rectangles;
The width of each rectangle is.
And, obtain the height of each rectangle, evaluate
The
The right end point of each interval is
Approximate the areas as the sum of the areas of
Finally the exact area by taking the limit as
Chapter 12 Solutions
EBK PRECALCULUS W/LIMITS
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