Find b∈R so that ∫C4x^2dy − 2xydx = 53, where C is the segment from (1, −5) to (−2, −3), followed by the part of y = 1 − x^2 from x = −2 ax = 2, followed by the segment from (2, −3) to (4, b).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find b∈R so that

∫C4x^2dy − 2xydx = 53,

where C is the segment from (1, −5) to (−2, −3), followed by the part of y = 1 − x^2 from x = −2 ax = 2, followed by the segment from (2, −3) to (4, b).

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