Evaluate p(x² + y²)5/2 dA, where D = {(x, y) E R² | 0 < y < 1, - V1- y² < a < 0}.
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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Transcribed Image Text:Evaluate the double integral \(\iint_D (x^2 + y^2)^{5/2} \, dA\), where \(D = \{(x, y) \in \mathbb{R}^2 \mid 0 \leq y \leq 1, -\sqrt{1 - y^2} \leq x \leq 0\}\).
Options:
- \( \frac{2\pi}{7} \)
- \( \frac{\pi}{7} \)
- \( \frac{\pi}{12} \)
- \( \frac{\pi}{14} \) (correct option)
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