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Integrate the functions(e^(2x)-e^(-2x))/...

Integrate the functions`(e^(2x)-e^(-2x))/(e^(2x)+e^(-2x))`

Text Solution

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put `e^(2x) + e^(−2x)`= t⇒2
2(`e^(2x) - e^(−2x)`) dx=dt
I = `int`(1/t)``(dt/2) = `1/2`log|t|
= `1/2`log |`e^(2x) + e^(−2x)`| + c
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