hey i was just wondering how to do this problem. Its in the attachment.
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It is not clear but what you have in the attachment is it what you have after integrating? In this case simply evaluate at t and 0 and subtract. If this is the integral let u = polynomial dv = exponential you'll have to integrate more than once
In addition to Calculus26's method I would bring out -1/4 outside the integral to clear the fraction if it is the integral
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