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

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SUMMARY

The discussion focuses on integrating the expression 0.5e^t with respect to time, represented as at = 0.5e^t m/s². The key equation referenced is at = dv/dt, which relates acceleration to the derivative of velocity. The solution involves recognizing that the integral of e^t dt is e^t, leading to the conclusion that the integral of 0.5e^t dt is 0.5e^t + C, where C is the constant of integration.

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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.
 

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