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Find the exact area, in fractional form, under the curve y = 4x³ over the interval [0, 5].

Find the exact area, in fractional form, under the curve y = 4x³ over the interval [0, 5].

Calculus: Early Transcendentals
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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The graph shows the curve \( y = 4x^5 \) plotted over the interval \([0, 5]\). The x-axis ranges from -1 to 6, while the y-axis ranges from 0 to 14000, increasing in increments of 1000. The curve starts at the origin (0,0) and rises steeply as \( x \) approaches 5. The area under the curve from \( x = 0 \) to \( x = 5 \) is shaded in green. Below the graph, the following problem is presented: "Find the exact area, in fractional form, under the curve \( y = 4x^5 \) over the interval \([0, 5]\)." There is a blank box provided for the answer.
Transcribed Image Text:The graph shows the curve \( y = 4x^5 \) plotted over the interval \([0, 5]\). The x-axis ranges from -1 to 6, while the y-axis ranges from 0 to 14000, increasing in increments of 1000. The curve starts at the origin (0,0) and rises steeply as \( x \) approaches 5. The area under the curve from \( x = 0 \) to \( x = 5 \) is shaded in green. Below the graph, the following problem is presented: "Find the exact area, in fractional form, under the curve \( y = 4x^5 \) over the interval \([0, 5]\)." There is a blank box provided for the answer.
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