Find 1 1 I'S' 0 0 (5x + 2y)5 dxdy

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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5.1.2

**Problem Statement:**

Evaluate the double integral:

\[
\int_{0}^{1} \int_{0}^{1} (5x + 2y)^5 \, dx \, dy
\]

**Explanation:**

This mathematical expression involves calculating the double integral of the function \( (5x + 2y)^5 \) over the unit square, where both \( x \) and \( y \) range from 0 to 1. The first integral is with respect to \( x \), and the second integral is with respect to \( y \).
Transcribed Image Text:**Problem Statement:** Evaluate the double integral: \[ \int_{0}^{1} \int_{0}^{1} (5x + 2y)^5 \, dx \, dy \] **Explanation:** This mathematical expression involves calculating the double integral of the function \( (5x + 2y)^5 \) over the unit square, where both \( x \) and \( y \) range from 0 to 1. The first integral is with respect to \( x \), and the second integral is with respect to \( y \).
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