integration by parts is easy

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"Appears out of nowhere"
"Solves problem silently"
"Refuses to elaborate"
"Slams the answer and leaves"

What a Gigachad

boonboon
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I can see you struggling with the integration of -cos

ahmed_hydrogen
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my calc 2 prof said if we used this on the tests/final we’d get a 0 LOL

DerangedIntellectual
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WAIT!!! HOLY WHAT IS THAT TECHINIQUE MY MAN!!!

mohammadsaad
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I never explicitly write down the DI method when i do IBP but i always have the frame in my head when i do the u dv/dx way

Ninja
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Honestly speaking when am I gonna use this in life apart from school 😢

setlive
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My professor for Cal 2 holds a PhD in Mathematics and he didn’t want us using tabular method only integration by parts 😭

MountainValleySpringWater
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Meanwhile, differentiation by parts:
Differentiate x^2
Part 1: bring the exponent to the front 2___
Part 2: reduce the exponent by one x^1
Part 3: put them all together 2x

teelo
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I keep differentiating the result and I’m not getting the original expression under the integral… isn’t that -2sinx just messing everything up?

constantinosdinos
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Excellent video wonderful 😊😊😊😊😊😊😊❤❤❤❤❤❤❤

christianmosquera
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We do this like udv differentiate u and taking integral for dv like the x² ad u and coxdx as dv ... 2x(sinx) - x(-cosx) ..

dhachubts
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Can someone explain how we know when to use U-sub and Integration by parts? And can u also explain the objective of using integration by parts? Like I know the objective of U-sub is to making integration easier. What’s the objective of integration by parts? To get rid of the powers?

joice
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Thank you. I did not that way. Does It applies to every case?

oscarmartinpico
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nice technique bro. I´ll try to use it properly

carlosabrill
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Does this work if there are two trig functions? (tan^2xsecxdx)?

Aer
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Thanks man! I got a new trick from you

allrounder
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d/dx x^2 -> 0 and the rest of the function integrates infinitely then you can use this method : tabular integration by parts

chefskies
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...Or remember the following,

First start as usual, integrate the second function, differentiate the first function and so on...attach alternate + and - signs

rj
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so wonderful method of mental integration

njgknnb
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Can we do same for sinx.e^x😅 because it's basically infinite...

gnaneswardavule