Given the integral: Ly³ where the area is enclosed between the following three curves: y³ dxdy c) y = x 1 x² + y² x = 0 = 1 a) Sketch the area Ω. b) State whether, in your opinion, it is better to proceed with an integration by vertical or horizontal lines, giving reasons. Write down the integrals with their limits in the two cases (integration by vertical and hori- zontal lines), without performing the integration.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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How would i do part b and part c?

Given the integral:
L₂³
where the area is enclosed between the following three curves:
y³ dxdy
y=x-1
x² + y²
x = 0
1
a) Sketch the area .
b)
State whether, in your opinion, it is better to proceed with an integration by vertical or
horizontal lines, giving reasons.
c) Write down the integrals with their limits in the two cases (integration by vertical and hori-
zontal lines), without performing the integration.
d) Perform the integration using the method that you judged the best in the previous points.
Transcribed Image Text:Given the integral: L₂³ where the area is enclosed between the following three curves: y³ dxdy y=x-1 x² + y² x = 0 1 a) Sketch the area . b) State whether, in your opinion, it is better to proceed with an integration by vertical or horizontal lines, giving reasons. c) Write down the integrals with their limits in the two cases (integration by vertical and hori- zontal lines), without performing the integration. d) Perform the integration using the method that you judged the best in the previous points.
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