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(b) Find the area enclosed by the curve y = 4x2 and the x-axis between x = -2 and x = 2. %3D

(b) Find the area enclosed by the curve y = 4x2 and the x-axis between x = -2 and x = 2. %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Part b and c
(a) Calculate the area under the curve y = between x = 2 and x = 8. (b) Find the area enclosed by the curve y = 4x² and the x-axis between x = -2 and x = 2. (c) Find the area enclosed by the curve y = x³ and the x-axis between x = -2 and x = 2. (d) Compute the area bounded by y = cos2t and the t-axis from t = 0 to t =}. Determine the area bounded by the curve y = 12-8x + x² and the x- (e) axis. (f) Find the area enclosed between the line y = 3x and the curve y? = 25x. Calculate the area enclosed between y = x(x-2)(x- 5) and the x- (g) axis. (h) Calculate the area of the shape defined by the curves y =- and y = e0.2x - 2 and the lines x =1 and x = 3.
Transcribed Image Text:(a) Calculate the area under the curve y = between x = 2 and x = 8. (b) Find the area enclosed by the curve y = 4x² and the x-axis between x = -2 and x = 2. (c) Find the area enclosed by the curve y = x³ and the x-axis between x = -2 and x = 2. (d) Compute the area bounded by y = cos2t and the t-axis from t = 0 to t =}. Determine the area bounded by the curve y = 12-8x + x² and the x- (e) axis. (f) Find the area enclosed between the line y = 3x and the curve y? = 25x. Calculate the area enclosed between y = x(x-2)(x- 5) and the x- (g) axis. (h) Calculate the area of the shape defined by the curves y =- and y = e0.2x - 2 and the lines x =1 and x = 3.
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