Integrating, Long Division, Completing the Square
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
Perform polynomial division:
x
3
−
6
x
2
+
11
x
−
6
x
−
2
\frac{x^3 - 6x^2 + 11x - 6}{x - 2}
x
−
2
x
3
−
6
x
2
+
11
x
−
6
.
QUESTION
What is the integral of
1
/
x
1/x
1/
x
?
QUESTION
Integrate
1
x
2
−
4
\frac{1}{x^2 - 4}
x
2
−
4
1
. What method simplifies it?
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ANSWER
Partial fraction decomposition. Factor as $ (x-2)(x+2) $ for partial fraction decomposition.
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