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Consider the indefinite integral [8.2³ 18x³ + 7x² + 3x + 4 -dx x¹ + 1x² Then the integrand has partial fractions decomposition a b cx + d + + x² + 1 x² X where a = b = C = d= Integrating term by term, we obtain that 18x³ + 7x² + 3x + 4 dx = x¹ + 1x² +

Consider the indefinite integral [8.2³ 18x³ + 7x² + 3x + 4 -dx x¹ + 1x² Then the integrand has partial fractions decomposition a b cx + d + + x² + 1 x² X where a = b = C = d= Integrating term by term, we obtain that 18x³ + 7x² + 3x + 4 dx = x¹ + 1x² +

Advanced Engineering Mathematics
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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Consider the indefinite integral [82³ [8x³ + 7x² + 3x + 4 -dx x¹ + 1x² Then the integrand has partial fractions decomposition a b cx + d + + x² + 1 x² X where a = b = C = d = Integrating term by term, we obtain that 18x³ + 7x² + 3x + 4 -dx - x¹ + 1x² +C
Transcribed Image Text:Consider the indefinite integral [82³ [8x³ + 7x² + 3x + 4 -dx x¹ + 1x² Then the integrand has partial fractions decomposition a b cx + d + + x² + 1 x² X where a = b = C = d = Integrating term by term, we obtain that 18x³ + 7x² + 3x + 4 -dx - x¹ + 1x² +C
Integrate [²² 2 - x + 6 x³ + 3x -dx. The partial fraction decomposition is (write all terms as fractions): dx The final answer is: x + 6 [²² -dx x³ + 3x
Transcribed Image Text:Integrate [²² 2 - x + 6 x³ + 3x -dx. The partial fraction decomposition is (write all terms as fractions): dx The final answer is: x + 6 [²² -dx x³ + 3x
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