Indefinite integral of (1+e^2x) / (4e^x)?

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2006-12-07 07:19:08 · 2 answers · asked by dharma&nirvana 1 in Science & Mathematics ➔ Mathematics

Just split that up into 1/(4e^x) + (e^x / 4), or (e^-x + e^x)/4.

Then you can integrate to get (-e^-x + e^x)/4 + c, or (-1+e^2x)/(4e^x) + c.

2006-12-07 07:21:42 · answer #1 · answered by stephen m 4 · 0⤊ 0⤋

First you prepare the function... write it so:

(1+e^(2x))/(4e^x) = (1/4)(e^(-x) + e^x)

Now the answer is easy: (1/4)(-e^(-x) + e^x)

2006-12-07 07:25:44 · answer #2 · answered by vahucel 6 · 0⤊ 0⤋