Integration by Parts (1 of 3: Deriving the Formula)

[@StunningBaboon]

you have helped this struggling uni student so much this semester. thank you so much

[@guillaumenikitits165]

I disagree

[@inchbyinch4985]

@@guillaumenikitits165 nothing to disagree about

[@rafsans_frame]

This guy knws the core of maths

[@kanhaikumar3373]

Fabulous tutorials

[@wesleysantoso6500]

Hai Mr. Woo, I have watched every video regarding this topic, but I'm still confused about the concept of Integration by parts. As far as I know, we integrate a function by the reason of getting its original function. However, if that's the case, why is the subject that we want to find is the integration of u*dv, not u*v as its original function? Thank You for your concern :)

[@Mel-oc7pi]

hi! don't know whether you are still confused a year later but to answer your question (as i was confused too!) it's because we define parts of the function as u and dv, we take each part of a function and call them u and dv. for example for y=xcos(x) we say u=x and dv=cos(x) so the function y is now u*dv (then when integrating, that's why we find the integral of u*dv) hope it helps

[@jeffthevomitguy1178]

It’s because it’s important that one of the functions is an anti derivative of another function to make it easier to write as a part of another integral.

[@asgovindarajan5597]

For the integral of product of 2 functions (say f(x) & g(x) or simply f & g ), why can't we say $ (f•g) = f•($g ) - $ [ ($g) • f' ] ??? (here the $ Symbol is integral Symbol)

[@asgovindarajan5597]

@@randomguyontheinternet_69 ohh okay! Thanks for clarifying! It's just better to use the Asian one😃 as it's effortless

[@asgovindarajan5597]

@@randomguyontheinternet_69 😂

[@isobar5857]

Why don't you show this method with a definite integral and thus show the ambiguity in the uv term,i.e, where's the integral sign for this?

[@billakhurst1468]

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[@jenromeave4793]

you seek for him as your tutor without payment?

[@antoinecharlesdegaulle580]

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[@antoinecharlesdegaulle580]

Gotta pay