Find the value of the line integral 6xy dx + (3x² + 4y2)dy, where C is an ellipse 16 + = 1 from (4, 0) to (0,5) 25 (Hint: If F(x,y)=6xyi+(3x²+4y2)j is conservative, the integration may be easier on an alternate path.) 0 50000 O 1,000 3 O O 40 ماء الدا 0 356

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Chapter2: Second-order Linear Odes
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Find the value of the line integral [6xy dx + (3x² + 4y2)dy, where C is an ellipse 16 +25 = 1 from (4, 0) to (0, 5).
(Hint: If F(x,y)=6xyi+(3x2+4y2)j
is conservative, the integration may be easier on an alternate path.)
O
○ 1,0000
O
3
O
40
م الما
0 3560
Transcribed Image Text:Find the value of the line integral [6xy dx + (3x² + 4y2)dy, where C is an ellipse 16 +25 = 1 from (4, 0) to (0, 5). (Hint: If F(x,y)=6xyi+(3x2+4y2)j is conservative, the integration may be easier on an alternate path.) O ○ 1,0000 O 3 O 40 م الما 0 3560
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