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Find the area of the region bounded by the graphs of the equations y = 9 + \sqrt[3]x, x=0,x=8,y=0

Question:

Find the area of the region bounded by the graphs of the equations {eq}y = 9 + \sqrt[3]x, x=0,x=8,y=0 {/eq}

Area using integrals:

In the given problem, we will find area of the region bounded by the curves. Here the limits of the integral are already defined from {eq}x=0 {/eq} to {eq}x=8 {/eq}, so we do not require to find the points of intersection.

Answer and Explanation:


Given {eq}y = 9 + \sqrt[3]x, x=0,x=8,y=0 {/eq}

Graph for the given curves:


The function {eq}y=9 + \sqrt[3]x {/eq} is forming the upper...

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Calculating Integrals of Simple Shapes

from Math 104: Calculus

Chapter 13 / Lesson 1
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