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Matlab Symbolic tool: Integration

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munirjojoverge

Aerospace
Jan 20, 2009
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hi guys,

I'm trying to calculate a complex integral of a function V(x,y,z) but the integral is wrt time. The symbolic variables x, y and z are also time dependent. I started with a simple case to try to learn how to do it. Let's say V = sin(x) and I want to calculate the integral wrt time. Do I need to create another symbolic variable Xdot that symbolize dx/dt or something like this. If so How would I do that.
Any wisdom out there to help me out, please!!

Munir
 
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» syms v x b t
» x=exp(-b*t)

x = exp(-b*t)

» v=sin(x)

v = sin(exp(-b*t))

» int(v,t)

ans = -sinint(exp(-b*t))/b

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Whoops. What the heck is sinint? Should've been cos.

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I see sinint was defined in the help. Maybe the answer is correct.

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At first glance it looked like an easy integral. It would be easy to find derivative of v(x(t)) with chain rule, but not so easy to find the integral. Matlab is probably right.

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