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Question: Is there a more efficient way to solve this vector calculus problem. Please critique.

Question:Is there a more efficient way to solve this vector calculus problem. Please critique.

max125 175 Maple 2016
September 17 2017
1

I am trying to solve a vector calculus problem, find r(t) given:

a(t) = < 4t, sin t, cos(2t) > ,  v(0) = <1,0,0>  , r(0) = <0, 1, 0 >

My approach below seems kind of complicated for such a straightforward problem.  I am trying to do this without copying pasting previous results. Also there might be a recursion issue when i defined v in terms of v(t).

 

 
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