Consider the indefinite integral:6x3 + 5x2 + 100x + 75dx.I =x4 + 25x2The integrand has the following partial fraction decomposition:BCx + Dx2x2 + 25(a) Determine the value of the following constants:A =B = Cx + DВ+x² + 25Ax2(a) Determine the value of the following constants:A =B =C =D =(b) Evaluate the indefinite integral.I =NOTE: Don't forget the constant of integration.

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Answered: Consider the indefinite integral: 6x +…

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Calculus

Consider the indefinite integral: 6x + 5x2 + 100x + 75 dx. I = x4 + 25x2

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.6: Partial Fractions

Problem 59E

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Question

Consider the indefinite integral:
6x3 + 5x2 + 100x + 75
dx.
I =
x4 + 25x2
The integrand has the following partial fraction decomposition:
B
Cx + D
x2
x2 + 25
(a) Determine the value of the following constants:
A =
B =

Cx + D
В
+
x² + 25
A
x2
(a) Determine the value of the following constants:
A =
B =
C =
D =
(b) Evaluate the indefinite integral.
I =
NOTE: Don't forget the constant of integration.

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