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Trig Substitution Flashcards

(3 cards)

1
Q

what sub. should be used for
√(a^2 - x^2)

A

x = asinθ
dx = acosθdθ
√(a^2 - x^2) = acosθ

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2
Q

what sub. should be used for
√(a^2 + x^2)

A

x = atanθ
dx = asec²θdθ
√(a^2 + x^2) = asecθ

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3
Q

what sub. should be used for
√(x^2 - a^2)

A

x = asecθ
dx = asecθtanθdθ
√(x^2 - a^2) = atanθ

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