Calculus AB 22AB - Quick Derivatives and Integrals Review

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AP Calculus Formulas to Know & Understand

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Questions 30

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1
Integrate:
-cotu + C
cotu + C
tanu + C
-tanu + C
2
Find the derivative:
(u'v-v'u)/(v2)
u'v-uv'
(u'v+v'u)/(v2)
u'v+uv'
3
Find the derivative:
-csc2x
-cscxcotx
-cosx
-sec2x
4
Find the derivative:
1/x
x'∙lnx
1/(lnx)
(lnx)/x
5
Integrate:
cscu + C
secu + C
-cscu + C
tanu + C
6
Integrate:
ln|sinu| + C
-ln|sinu| + C
-ln|cosu| + C
ln|cosu| + C
7
Find the derivative:
-sec2x
-cscxcotx
secx
-csc2x
8
Find the derivative:
sec2x
cscxtanx
tan2x
secxtanx
9
Integrate:
sinu + C
-sinu + C
-cosu + C
cosu + C
10
Integrate:
ueu-1 + C
eu/(u+1) + C
eu + C
eu/u + C
11
Integrate:
xn+1/n + C
xn/(n+1) + C
nxn-1 + C
xn+1/(n+1) + C
12
Integrate:
ln|u| + C
u-1 + C
eu + C
lnu + C
13
Integrate:
cscu + C
secu + C
tanu + C
-cscu + C
14
Find the derivative:
u'+v'
u'v+uv'
(uv)n-1
u'v-uv'
15
Integrate:
cotu + C
tanu + C
2secu + C
2secutanu + C
16
Find the derivative:
u'/√(1-u2)
u'/√(1+u2)
-u'/(1+u2)
u'/(1+u2)
17
Find the derivative:
-u'/(1-u2)
-u'/(1+u2)
-u'/√(1-u2)
-u'/√(1+u2)
18
\int_{ }^{ }\csc udu=
ln|cotu-cscu| + C
-ln|cotu+cscu| + C
ln|cotu+cscu| + C
-ln|cotu-cscu| + C
19
Find the derivative:
-u'/√(1-u2)
-u'/(1+u2)
u'/√(1-u2)
u'/(1+u2)
20
Find the derivative:
-u'/√(1-u2)
-u'/(1+u2)
-u'/√(1+u2)
u'/(1+u2)
21
Find the derivative:
-sinx
-cosx
cosx
cos2x
22
\int_{ }^{ }\sec xdx=
-ln|tanu+secu| + C
ln|tanu+secu| + C
ln|tanu-secu| + C
-ln|tanu-secu| + C
23
\int_{ }^{ }3^xdx=
\frac{3^x}{\ln3}+c
\frac{3^x}{\ln3}
3^x+c
3^x\ln3+c
24
Find the derivative:
sec2x
sinx/cosx
csc2x
secx
25
Find the derivative:
sin2x
-sinx
-cscxcosx
sinx
26
Find the derivative:
nxn-1
nx
(n-1)xn-1
nxn
27
Find the derivative:
(x-1)ex
ex-1
ex
xex-1
28
Find the derivative:
f(g'(x))
f'(g(x))∙g'(x)
f'(g(x))
f'(g'(x))
29
Integrate:
cosu + C
cos2x + C
-sinu + C
-cosu + C
30
Integrate:
-ln|cosu| + C
ln|sinu| + C
ln|cosu| + C
-ln|sinu| + C

Calculus AB 22AB - Quick Derivatives and Integrals Review Flashcards | StudBud