EBK CALCULUS: EARLY TRANSCENDENTAL FUNC
6th Edition
ISBN: 8220100475559
Author: Edwards
Publisher: YUZU
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Textbook Question
Chapter 7.1, Problem 42E
Finding the Area of a Region In Exercises 37-42, sketch the region bounded by the graphs of the equations and find the area of the region.
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Calculus
Area Function
a) Find the formula for the area function, A(x), represented by the integral.
b) Use that formula to find both A(t) and A(2t).
c) Graph f(t) = sin (;t) and shade the area for the interval [0, 27].
d) Graph A(x) on the same graph and plot the point (2r, A(2n)).
e) What is the relationship between parts (c) and (d)?
sin
dt
جامعة التقنية والعلومر التطبيقية بالمصنعة
University of Technology and Applied Sciences - Al Mussanah
P Flag question
The area of the region between the curve y = x? – 6x +8 and the x-axis & x= 0; x = 3
is given by
2
|(x - 6x+8)dx +| (x - 6x+8)dx
а.
2
b. [(x – 6x +8)dr
3
[(x² – 6x +8)dy
с.
3
d. [(x - 6x +8)dy + |(x² – 6x + 8)đdy
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