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4) (6.) Find the volume of the solid formed from the region between y = e*, y = 0, x = 0, x = 1 rotated about the y-axis. %3D

4) (6.) Find the volume of the solid formed from the region between y = e*, y = 0, x = 0, x = 1 rotated about the y-axis. %3D

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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1) (5.) Find the definite integral 1 V4 - r2 dx. 2) (5.5) Find the indefinite integral, S x2(4x3 + 3)7dx. 3) (5.6) Find the area enclosed by y = x2 – 2x and y = x + 4. 4) (6.) Find the volume of the solid formed from the region between y = e*, y = 0, x = 0,x = 1 rotated about the y-axis. 5) (6.3) Find the length of the curve f (x) = In(cos(x)) for 0 < x < /3. %3D 6) (8.1) Sx sin(2x) dx 7) (8.) v9- x² dx 8) (8.4) dx x3 + x dx. 9) (8.7) Find the integrals convergence and its value x3 10) (9.) Determine the convergence of the following. Σ 1 (2n)! n2 + n n=1 11) (9.) Determine the absolute convergence of the following.
Transcribed Image Text:1) (5.) Find the definite integral 1 V4 - r2 dx. 2) (5.5) Find the indefinite integral, S x2(4x3 + 3)7dx. 3) (5.6) Find the area enclosed by y = x2 – 2x and y = x + 4. 4) (6.) Find the volume of the solid formed from the region between y = e*, y = 0, x = 0,x = 1 rotated about the y-axis. 5) (6.3) Find the length of the curve f (x) = In(cos(x)) for 0 < x < /3. %3D 6) (8.1) Sx sin(2x) dx 7) (8.) v9- x² dx 8) (8.4) dx x3 + x dx. 9) (8.7) Find the integrals convergence and its value x3 10) (9.) Determine the convergence of the following. Σ 1 (2n)! n2 + n n=1 11) (9.) Determine the absolute convergence of the following.
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