alright, i could be totally making this up (most likely) but i got -2x^2(1-x)^(1/2) - (8/3)x(1-x)^(3/2) - (16/15)(1-x)^(5/2)
you know u and v substitutions, right? (or i dunno if you call them that) so then u=x^2 and dv=(1-x)^(-1/2) so du=2x and v=-2(1-x)^(1/2). if you plug those into the uv - integral of vdu, then you'll get another integral that you have to use the substitutions in. does that make any sense?
chances are though that i'm completely wrong and there's actually a much more simple, logical way to do it, in which case i'll feel really dumb, but you know.
we only know the "u" substitution, i guess. we only substitute one variable at a time and differentiate it and then substitute u and du in and it usually works but i don't see any one thing to substitute AHH?? p.s. THANKS for trying!!! <3<3<3<3
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the integral of x squared over the square root of one minus x. dx. im supposed to use substitution.
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you know u and v substitutions, right? (or i dunno if you call them that) so then u=x^2 and dv=(1-x)^(-1/2) so du=2x and v=-2(1-x)^(1/2). if you plug those into the uv - integral of vdu, then you'll get another integral that you have to use the substitutions in. does that make any sense?
chances are though that i'm completely wrong and there's actually a much more simple, logical way to do it, in which case i'll feel really dumb, but you know.
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p.s. THANKS for trying!!! <3<3<3<3
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