I have recently been attempting to solve a problem that has been bugging me for quite some time. I've gotten back into calculus and integrals to attempt to solve a little formula I'm trying to build for a simulation test. Over-all, if I have ##\int _0^bv^2x\ dx## I'd expect the outcome to be ##\frac{1}{2}b^2v^2##. But my problem is that at x = 0, v = u(u being any constant) while at x = b, v = 0. Therefore when I attempt to solve the integral I get ##\frac{1}{2}b^2\ 0^2-\frac{1}{2}0^2u^2##, which of course is equal to zero, but this is impossible. I have the suspicion that I'm using an incorrect 'type of integral'. If what I've written isn't too vague, would anyone happen to know what it I'm doing incorrectly here?(adsbygoogle = window.adsbygoogle || []).push({});

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# B What form of calculus needs to be used?

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