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Find the area bounded by the curve y = In x and the lines x = e, x = 2e and x-axis

Find the area bounded by the curve y = In x and the lines x = e, x = 2e and x-axis

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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Please answer #6 only

3. Find the area bounded by the curve y = x(x - 1)², the y-axis and the line y = 2. 4. Find each of the two areas bounded by the curves y = x³ 4x and y=x²2x. 5. Find the area between the two curves 2y² + 4x + y = 0 and y = 2x. 6. Find the area bounded by the curve y = In x and the lines x = e, x = 2e and x-axis. 7. Find the area under the first arch of the curve y = x sinx. 8. Find the area bounded by the parabolas v² = 4x and y² + 12x = 36.
Transcribed Image Text:3. Find the area bounded by the curve y = x(x - 1)², the y-axis and the line y = 2. 4. Find each of the two areas bounded by the curves y = x³ 4x and y=x²2x. 5. Find the area between the two curves 2y² + 4x + y = 0 and y = 2x. 6. Find the area bounded by the curve y = In x and the lines x = e, x = 2e and x-axis. 7. Find the area under the first arch of the curve y = x sinx. 8. Find the area bounded by the parabolas v² = 4x and y² + 12x = 36.
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