(a) As an iterated integral, A = B = C = Suppose R is the triangle with vertices (-1,0), (0, 1), and (1,0). [ (3x + (3x + 6y)² dA= R D = B D 1A = √₁² √² (3x (3x + 6y)² dx dy with limits of integration (b) Evaluate the integral in part (a). Hint: substitution may make the integral easier. Integral =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(a) As an iterated integral,
A =
B =
C =
Suppose R is the triangle with vertices (−1,0), (0, 1), and (1,0).
B
D
131²
A
D
/
R
(3x + 6y)² dA :
=
(3x + 6y)² dx dy with limits of integration
(b) Evaluate the integral in part (a). Hint: substitution may make the integral easier.
Integral
Transcribed Image Text:(a) As an iterated integral, A = B = C = Suppose R is the triangle with vertices (−1,0), (0, 1), and (1,0). B D 131² A D / R (3x + 6y)² dA : = (3x + 6y)² dx dy with limits of integration (b) Evaluate the integral in part (a). Hint: substitution may make the integral easier. Integral
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