Consider the indefinite integral * (8x³ + 7x² + 100x + 75 -dr x4 + 25x² Then the integrand has partial fractions decomposition a b cx + d + 1² + 25 + where a = b = C = d = Integrating term by term, we obtain that /8x³ + 7x² + 100x + 75 dr = x4 + 25x²

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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(8x³ + 7x² + 100x + 75
-dr
Consider the indefinite integral
x4 + 25x?
Then the integrand has partial fractions decomposition
b
cx + d
a
x² + 25
where
a =
b =
C =
d =
Integrating term by term, we obtain that
(8x³ + 7x² + 100x + 75
-dx
x4 + 25x?
+C
Transcribed Image Text:(8x³ + 7x² + 100x + 75 -dr Consider the indefinite integral x4 + 25x? Then the integrand has partial fractions decomposition b cx + d a x² + 25 where a = b = C = d = Integrating term by term, we obtain that (8x³ + 7x² + 100x + 75 -dx x4 + 25x? +C
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