Find the approximate area under the curve of the given equation by dividing the indicated intervals into n subintervals and then add up the areas of the inscribed rectangles. There are two values of n and therefore two approximations for the area. The height of each rectangle may be found by evaluating the function for the proper value of x. y= between x= 1 and x =5 for (a) n=4, (b) n=8 ..... (a) The approximate area under the curve y = for n=4 rectangles is- (Round to three decimal places as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Find the approximate area under the curve of the given equation by dividing the indicated intervals into n subintervals and then add up the areas of the inscribed
rectangles. There are two values of n and therefore two approximations for the area. The height of each rectangle may be found by evaluating the function for the
proper value of x.
9
y%3=
between x=1 and x =5 for (a) n= 4, (b) n=8
(a) The approximate area under the curve y=
x²
(Round to three decimal places as needed.)
for n=4 rectangles is
Transcribed Image Text:Find the approximate area under the curve of the given equation by dividing the indicated intervals into n subintervals and then add up the areas of the inscribed rectangles. There are two values of n and therefore two approximations for the area. The height of each rectangle may be found by evaluating the function for the proper value of x. 9 y%3= between x=1 and x =5 for (a) n= 4, (b) n=8 (a) The approximate area under the curve y= x² (Round to three decimal places as needed.) for n=4 rectangles is
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