Finding Antiderivatives and Indefinite Integrals
AP Calculus AB · Flashcards · Recall
AP CALCULUS AB · FLASHCARDS
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QUESTION
Which rule is applied for
d
d
x
F
(
x
)
=
f
(
x
)
\frac{d}{dx} \text{F}(x) = f(x)
d
x
d
F
(
x
)
=
f
(
x
)
?
QUESTION
Identify the rule used to find the antiderivative of
c
f
(
x
)
cf(x)
c
f
(
x
)
.
QUESTION
What is the antiderivative of
f
(
x
)
=
sec
2
(
x
)
f(x) = \sec^2(x)
f
(
x
)
=
sec
2
(
x
)
?
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ANSWER
F
(
x
)
=
tan
(
x
)
+
C
F(x) = \tan(x) + C
F
(
x
)
=
tan
(
x
)
+
C
. Derivative of
tan
(
x
)
\tan(x)
tan
(
x
)
is
sec
2
(
x
)
\sec^2(x)
sec
2
(
x
)
, so reverse gives this.
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