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Basic Integrals Calculus AB Flashcards | StudBud
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Basic Integrals Calculus AB
Basic Integrals Calculus AB
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AP Calculus AB Review
Flashcards
14 cards
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Practice quiz
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Questions
14
Answers
1
∫csc
2
(x)
dx =
-cot(x) + C
-cot2(x) + C
sec(x) + C
sin(x) + C
2
∫a
x
dx =
2x-2 + C
xln(a) + C
aln∣x∣ + C
ax / ln(a) + C
3
∫sin(x)
dx =
cos2(x) + C
-cos(x) + C
sin(x)cos(x) + C
cos(x) + C
4
∫
e
x
dx =
xex
xex + C
ex
ex + C
5
∫cos(x)
dx =
cot2(x) + C
sin(x) + C
-sin(x) + C
sec(x) + C
6
∫sec(x)tan(x)
dx =
tan(x) + C
sec(x) + C
sec2(x) + C
cot2(x) + C
7
∫sec
2
(x)
dx =
sin(x) + C
cot2(x) + C
sin(x)cos(x) + C
tan(x) + C
8
∫tanx dx =
ln∣secx∣ +C
sec2x +C
secx + C
−ln∣cosx∣ +C
9
∫1/(x
2
+ a
2
)dx=
sin-1(x/a) +C
1/a sin-1(x/a) +C
tan-1(x/a) +C
1/a tan-1(x/a) +C
10
∫csc(x)cot(x)
dx =
sec(x) + C
cot(x) + C
-csc(x) + C
-cot2(x) + C
11
Tie Breaker!!! Find the derivative. f(x) = sin
2
x
f ' (x) = 2cosx
f ' (x) = 2sinxcosx
f ' (x)=2sinx
f ' (x) = −2sinxcosx
12
∫1/√a
2
-x
2
dx
sin-1(a/x) +C
1/a sin-1(x/a) +C
1/a sin-1(a/x) +C
sin-1(x/a) +C
13
Choose the correct answer: ∫(1/x)
dx
x-2 + C
ln∣x∣ + C
2x-2 + C
x +C
14
∫1/(x√x
2
−a
2
) dx =
1/a sec-1(x/a) +C
sec-1(x) +C
1/a sec-1(x) +C
sec-1(x/a) +C