multiplying exponents

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I am doing an integral and can't figure it out. This is not for programming it is for homework but integrals will come into programming somewhere down the line I am guessing. So here it is 1/20 multiplied by the integral from 0 to 20 of 202.31/(1 + e^(3.938-0.314t)) hint: multiply the integrand by e^0.314t/e^0.314t Now I don't want anybody to do it for me I just need the first step. When you multiply e^(3.938-0.314t) by e^(0.314t) can you distribute the exponents to make e^(1.236532t - .628t^2)? If you can what is the step after that. I am guessing that when I get the initial step I am not seeing I will be able to do the rest thanks all.

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a^b * a^c = a^(b+c)

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Unless I missed something, (e^x)*(e^y)=e^(x+y). That should make it fairly obvious how this hint is supposed to make it easier.

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Ah thanks I see now. Yeh some basic math I forgot getting in the way

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