Integrating, Long Division, Completing the Square
AP Calculus AB · Flashcards · Application
AP CALCULUS AB · FLASHCARDS
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QUESTION
State the integral of
1
x
2
+
2
x
+
3
\frac{1}{x^2 + 2x + 3}
x
2
+
2
x
+
3
1
after completing the square.
QUESTION
Express
x
2
+
4
x
+
13
x^2 + 4x + 13
x
2
+
4
x
+
13
in completed square form.
QUESTION
What is the completed square form of
x
2
+
2
x
+
3
x^2 + 2x + 3
x
2
+
2
x
+
3
?
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ANSWER
(
x
+
1
)
2
+
2
(x+1)^2 + 2
(
x
+
1
)
2
+
2
. Complete the square:
(
x
+
1
)
2
+
2
(x+1)^2 + 2
(
x
+
1
)
2
+
2
where
2
=
3
−
1
2 = 3 - 1
2
=
3
−
1
.
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