(5x° + 4x + Ix Consider the indefinite integral dx x2 – 1 Then the integrand decomposes into the form d' с ax + 6 + 1 x + 1 - where a =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.2: Substitution
Problem 22E
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Consider the indefinite integral
(5x³ + 4x2 + 1x – 6
dx
x2
- 1
Then the integrand decomposes into the form
d
+
1
ax + 6+
x + 1
where
a =
b =
C =
d =
Integrating term by term, we obtain that
(5x³ + 4x? + læ – 6
dx =
x2
- 1
+C
Transcribed Image Text:Consider the indefinite integral (5x³ + 4x2 + 1x – 6 dx x2 - 1 Then the integrand decomposes into the form d + 1 ax + 6+ x + 1 where a = b = C = d = Integrating term by term, we obtain that (5x³ + 4x? + læ – 6 dx = x2 - 1 +C
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