Integration Question (1 Viewer)

SB257426

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I am pretty confused with my solution to this integration proof question. I feel like it isn't the right way to prove it.

Screen Shot 2023-01-19 at 10.03.25 pm.jpg
d/dx (uv) = u(dv/dx)+v(du/dx)

take the integral with respect to x of both sides:

uv = ∫ u(dv/dx ) dx + ∫ v(du/dx) dx

therefore,

∫ u(dv/dx ) dx = uv - ∫ v(du/dx) dx


If this method is incorrect, I would appreciate if anyone could tell me how to actually do it.
Cheers,
SB
 

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