Can you integrate 0.5etm/s2 in terms of e?

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Homework Statement


at= 0.5etm/s2


Homework Equations


at = dv/dt


The Attempt at a Solution

v = integration of 0.5et
 
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So what is the integral of e^(t) dt?
 
If you know that the derivative of e^t is just e^t itself, then its integral is easy.
 
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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