What is the integral... ∫[(e^x + e^-x)/e^2x] dx
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What is the integral... ∫[(e^x + e^-x)/e^2x] dx

[From: ] [author: ] [Date: 11-11-24] [Hit: ]
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What is ∫[(e^x + e^-x)/e^2x] dx

i know that e^x reproduces itself, so i am kind of confused how to find this answer

Thank you for helping!

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∫[(e^x + e^-x) / e^(2x)]dx
= ∫(e^(-x) + e^(-3x))dx
= ∫e^(-x)dx + ∫e^(-3x)dx
= -e^(-x) + (-1/3)e^(-3x) + C

Hope this helps :D

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∫[(e^x + e^-x)/e^2x] dx
= ∫[(e^--x + e^--3x)] dx
= -- e^--x -- (1/3) e^--3x + C

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use a calculator :D

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= ∫(e^-x + e^-3x) dx = ...

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idk
1
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