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integrate[(t^3+5t^2+7t+1)/(t^2+3t)]
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partial fraction?
Partial fraction's shouldn't be used on this assignment.
I ended up with 1/2*t^2 + 2t + ln|t+3| - 2/3 * arctan(-2/3 * t -1) + C but this wasn't right for some reason
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