Elliptical Distributed Force Brain Waves

Here's a short example showing how to use integrals to find moment on a cantilever beam with a distributed load. I used an elliptical load distribution, but the method will work with any continuous load distribution.

[@spyrosvas1850]

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[@TennisGvy]

I mean what's the difference between integral of f(t) from o to x and integral of f(t) from 0 to t in the long run?

[@greaseTalk]

He really dropped the C-bomb on us 😭💔

[@pipeboni12]

excuse me, I don't understand how did you get the answer with respect to the moment? 66.67? because mi answer is 157.34N.m

[@gohan100100]

integral of f(t) from 0 to x is a constant, i.e. there is only 1 answer... I'm assuming x is a constant because because "t" would be your variable in this example.
integral of f(t) from 0 to t depends on the value of t... there can be an infinite number of answers.

[@gohan100100]

Because the answer is then variable.

[@TennisGvy]

Why do mathematicians get so testy when you have the function's variable in the integral limits?