QuestionFind the area of the region pictured below that is bounded by the functions f(x):the x-axis when integrating with respect to y.Enter an exact answer.Provide your answer below:A =units²-6. -5-3-287654321-1 0-1-2-3-4-5-6-7Y-8ofg(x(x)2 3J67 84-=x²-9x + 20 and g(x) = + and5X

Given: The area of the region bounded by the functions fx=x2-9x+20 , gx=x2+12 and x-axis y=0 Find…

Answered: = Find the area of the region pictured…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Given: The area of the region bounded by the functions $f (x) = x^{2} - 9 x + 20$ , $g (x) = \frac{x}{2} + \frac{1}{2}$ and $x$ -axis $(y = 0)$

Find the area of the region using integration with respect to $y$

Area of bounded regions:

Let $f (y)$ and $g (y)$ be two continuous curves bounded on the interval $[c, d]$ and $g (y) \leq f (y)$ for all $y \in [c, d]$

then the area of the region bounded by the graph of $x = f (y)$ and $x = g (y)$ and the horizontal lines $y = c$ and $y = d$

$A = \int_{c}^{d} [f (y) - g (y)] d y$

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= Find the area of the region pictured below that is bounded by the functions f(x) = x² - 9x + 20 and g(x): the x-axis when integrating with respect to y. Enter an exact answer. -8 -7 -6 -5 -4 -3 8 7 6 5 4 3 2 1 0 -1 -2 -3 -4 1 1(x) 3 5 6 7 X +an