(a) Interpret | V1- (x – 1)² dx as an area and calculate the integral without integrat- ing.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Need help with part a). Please explain each step and neatly type up. Thank you :)

 

Problem 2.
(a) Interpret
| V1- (x – 1)² dx as an area and calculate the integral without integrat-
ing.
1–x²
(b) Interpret
x² + y? dydx as a volume and calculate the integral without
integrating.
Transcribed Image Text:Problem 2. (a) Interpret | V1- (x – 1)² dx as an area and calculate the integral without integrat- ing. 1–x² (b) Interpret x² + y? dydx as a volume and calculate the integral without integrating.
Expert Solution
Step 1

Interprete the area mentioned by using the graph and calculate the area directly without using the integration.

 

 

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