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How to find the integral of int(te^t, -e^(-2t), te^t(^2)) dt?
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High School Teacher
1. `int te^t dt`
Integrate by parts. u = t and dv = e^t. Then du = 1 and v = e^t
`=te^t-int e^t dt`
2. `int -e^(-2t)dt`
You could use substitution, but I like to just think "what would the derivative of e^-2t be? -2e^-2t. So we have half of that:
3. `int te^(t^2) dt`
Think "what would the derivative of `e^(t^2)` be? `2te^(t^2)` . Again, we just have half of that in our integral, so answer is
Posted by nathanshields on January 20, 2012 at 12:33 PM (Answer #1)
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