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Duplicate of Duplicate of AP Calculus: Inverse Trig Derivatives and Integrals Flashcards | StudBud

Explore/Duplicate of Duplicate of AP Calculus: Inverse Trig Derivatives and Integrals

Duplicate of Duplicate of AP Calculus: Inverse Trig Derivatives and Integrals

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Questions 11

Answers

1
Differentiate ...
(1/(1 - x2)1/2 /(arc sin x)
1 / arc sin x
(arc sin x) / (1/(1 - x2)1/2
1 / (1 - x 2)1/2
2
Differentiate as fast as you can!!!
- x-1
- x-3
x-3
x-1
3
Integrate ...
2(1 - y4)1/2 + C
arc sin y2 + C
(1/2) arc sin y2 + C
4
Integrate...
arc sec (tan x) + C
arc tan (sec x) + C
arc sin (tan x) + C
can not be determined
5
Integrate ...
2 arc tan (sin θ ) + C
(1/2 ) arc tan (sin θ ) + C
(1 + sin θ)3 / 3 + C
6
Differentiate ...
(ex ) / (1 - ex )1/2
1 / (1 - e2x )1/2
(e2x ) / (1 - e2x )
(e2x ) / (1 - e2x )1/2
7
Integrate ...
- ln ∣1 + cos x∣ + C
arc tan (1 + cos x) + C
(1 + cos x)2 / 2 + C
ln ∣1 + cos x∣ + C
8
Differentiate at lightening speed!
esin x cos x
ecos x
esin x
ecos x sin x
9
Integrate ...
(1/a)arc tan (u/a) + C
arc cos u + C
arc sec ∣u∣ + C
arc sin (u/a) + C
10
Integrate ...
(1/2)arc tan (x 2/ 2) + C
(3/4)arc tan (x 2/ 2) + C
(3/2)arc tan (x 2/ 2) + C
11
Integrate ...
arc tan ex + C
arc tan x + C
earc tan x + C
can not be determined