Integrating using PFD | Mathematics | Page 1

wheat pagoda Mar 18, 2023, 6:00 PM

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could've sworn I did this one yesterday

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it simplifies to (x³+x²-1)/(x+1)

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which is ⅓x³-ln|x+1|+C

proven jetty Mar 18, 2023, 6:05 PM

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wheat pagoda could've sworn I did this one yesterday

two days ago

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but i got fucked up

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and forgot to screenshot

proven jetty Mar 18, 2023, 6:06 PM

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wheat pagoda it simplifies to (x³+x²-1)/(x+1)

sorry, but how does this work

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does the x^2/1 cancel out a x^2 from the other fraction?

wheat pagoda Mar 18, 2023, 6:08 PM

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on top you have (x²-x+1)(x³+x²-1) and on bottom you have (x+1)(x²-x+1)
which becomes (x³+x²-1)/(x+1)

wheat pagoda Mar 18, 2023, 6:09 PM

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proven jetty sorry, but how does this work

typo

proven jetty Mar 18, 2023, 6:11 PM

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i’m missing something here

proven jetty Mar 18, 2023, 6:11 PM

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wheat pagoda on top you have (x²-x+1)(x³+x²-1) and on bottom you have (x+1)(x²-x+1) which bec...

where are half of these numbers coming from

wheat pagoda Mar 18, 2023, 6:12 PM

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proven jetty where are half of these numbers coming from

factorising

proven jetty Mar 18, 2023, 6:14 PM

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eating lunch, i’ll do some tinkering with factoring in a second

proven jetty Mar 18, 2023, 6:26 PM

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wheat pagoda factorising

i get the bottom factor, im not seeing how you factored the top

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wait

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hm

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okay

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so i redid the math and the top factor works

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so does your method skip long division entirely?

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or i can still long divide and only factor the bottom i guess

#Integrating using PFD