Selecting Techniques for Antidifferentiation
AP Calculus BC · Flashcards · Recall
AP CALCULUS BC · FLASHCARDS
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QUESTION
What is the antiderivative of
e
x
e^x
e
x
?
QUESTION
What is the antiderivative of
x
n
x^n
x
n
for
n
≠
−
1
n \neq -1
n
=
−
1
?
QUESTION
What is the antiderivative of
e
a
x
e^{ax}
e
a
x
?
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ANSWER
1
a
e
a
x
+
C
\frac{1}{a}e^{ax} + C
a
1
e
a
x
+
C
. Chain rule in reverse: derivative of
1
a
e
a
x
\frac{1}{a}e^{ax}
a
1
e
a
x
is
e
a
x
e^{ax}
e
a
x
.
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