Name of integration technique?

Tim S

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Is it possible to express displacement as the double integral of acceleration with respect to time like this: [h=1]∫∫a dt[/h]If not, what symbol can you use to express the integral of the integral of a function?
 
Is it possible to express displacement as the double integral of acceleration with respect to time like this: ∫∫a dt

If not, what symbol can you use to express the integral of the integral of a function?

What are your thoughts?

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Is it possible to express displacement as the double integral of acceleration with respect to time like this: ∫∫a dt

If not, what symbol can you use to express the integral of the integral of a function?
Yes but boundary conditions need to be included. For example, letting d(t) be distance, v(t) be velocity, and a(t) be acceleration, we have
d'(t) = v(t); d(t0) = d0
v'(t) = a(t); v(t0) = v0
which can be turned into a double integral of a(t) including boundary conditions.
 
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