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Calculus/Calculus Integration

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Question
Ok hello again. My question is I have to integrate & e^(-
3x) when x goes from 1 to infinity .
So I tried to do the problem integration e first and then
taking the limit as t goes to infinity and my answer was
that it converges and the pt was (-e^-3)/3 is this correct?
it does not seem right to me.

Answer
To integrate e^(-3x), all you've got to do is to divide by the multiplier.  The answer is e^(-3x)/(-3).  Now if you evaluate this
from 1 to ∞, you get e^(-3*∞)/(-3) - e^(-3)/(-3).  The first term is 0 and there are two negatives in the second term.  Even though it
may not seem right to you, it is.

Calculus

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Any kind of calculus question you want. I also have answered some questions in Physics (mass, momentum, falling bodies), Chemistry (charge, reactions, symbols, molecules), and Biology.

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