This is from viscoelasticity... My math minor didn't help. I understand how it works conceptually, well maybe not to prove it, but that's not what I'm trying to do.
Let's say I have an integral I need to solve:
F(t)=Integrate[ P(t,t')*d(x(t')),{t' from 0 to some arbitrary t*}]
I have the function for P(t,t'), so it doesn't really matter, and I know the function x(t'). I understand that this integral is an approximation of infinite sums, but I'm not sure how to apply it. I tried splitting up the d(x(t')) term and rewriting it as
F(t)=Integrate[ P(t,t')*(dx(t')/dt') dt',{t' from 0 to some arbitrary t*}]
But I'm not sure if it's the right way to do it. What do you think?
Let's say I have an integral I need to solve:
F(t)=Integrate[ P(t,t')*d(x(t')),{t' from 0 to some arbitrary t*}]
I have the function for P(t,t'), so it doesn't really matter, and I know the function x(t'). I understand that this integral is an approximation of infinite sums, but I'm not sure how to apply it. I tried splitting up the d(x(t')) term and rewriting it as
F(t)=Integrate[ P(t,t')*(dx(t')/dt') dt',{t' from 0 to some arbitrary t*}]
But I'm not sure if it's the right way to do it. What do you think?
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