#integration

19 messages · Page 1 of 1 (latest)

slim hornet Apr 16, 2023, 6:37 PM

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not sure how to do this integration question

wanton grotto Apr 16, 2023, 6:42 PM

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x = sec u i think

wary terrace Apr 16, 2023, 6:43 PM

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3secu^

wanton grotto Apr 16, 2023, 6:44 PM

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oh yeah mb

slim hornet Apr 16, 2023, 6:48 PM

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hwo do you figure out to use that sub

wary terrace Apr 16, 2023, 6:50 PM

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or since it's further, will it be a hyperbolic substitution

silver citrus Apr 16, 2023, 6:56 PM

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slim hornet hwo do you figure out to use that sub

slim hornet Apr 16, 2023, 6:58 PM

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they use x=3coshu

wary terrace Apr 16, 2023, 6:58 PM

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that works too

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when x=5 isnt u = ln3

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I get 10 - 9/2 ln3 in the end

slim hornet Apr 16, 2023, 7:34 PM

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yeah i saw that mistake

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but isn't also cosh^2 +1 = sinh^2

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so i didn't know where to go from there

wary terrace Apr 16, 2023, 8:00 PM

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slim hornet but isn't also cosh^2 +1 = sinh^2

cosh^2x - 1 = sinh^2x

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the identity is cosh^2x - sinh^x = 1

slim hornet Apr 16, 2023, 8:05 PM

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ah right

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thanks i was getting that mixed up