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Trig Substitution Test Flashcards | StudBud

Explore/Trig Substitution Test

Trig Substitution Test

9 terms·StudBud Administration·15 plays

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Questions 9

Answers

1
What does √(x2 - a2) simplify to?
asecθ
asinθ
atanθ
acosθ
2
What does √(a2 - x2) simplify to?
asecθ
acosθ
asinθ
atanθ
3
When can you use trig substitution?
√(a2 - x2)
√(x2 - a2)
(a2 + x2)
√(a2 + x2)
4
What is integration with trigonometric substitution?
a waste of time
a really hard way to solve for integrals
a method for finding derivatives of functions
a method for finding antiderivatives of functions
5
What knowledge is needed for trigonometric substitution?
the fundamental theorem of calculus
integration using u-sub
the mean value theorem for integrals
standard trigonometric identities
6
Use a trig substitution to evaluate the given integral
ln|(√x2-5/√5) + x/√5| + c
ln|(√x2+5/√5) + x/√5|
ln|(√x2+5/√5) + x/√5| + c
ln|(√x2+5/√5) - x/√5| + c
7
Use a trig subtitution to eliminate the root
√13|csc(θ)|
√13sec(θ)
√13|sec(θ)|
√13|tan(θ)|
8
What is the goal of trig substitution?
for teachers to teach when they want their students to suffer
to replace square roots of quadratic expressions
to make yourself look smarter in front of others
to replace other forms of integration
9
What does √(a2 + x2) simplify to?
acosθ
asinθ
asecθ
atanθ