Integrating exp{-5cos(t)}: A Quick Guide to Finding the Solution

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[SOLVED] quick check please help

Homework Statement



integrate exp{-5cos(t)}


Homework Equations





The Attempt at a Solution



Is it -5sin(t)exp{-5cos(t)}?
 
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can sumone jus say yes or no, my mathematica aint working
 
No. And I doubt mathematica could integrate that either.
 
thanks didnt think so, just proved my tutor partner wrong lol thanks again
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

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