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Evaluate :int (e^(x)-e^(-x))/(e^(x)+e^(-...

Evaluate :`int (e^(x)-e^(-x))/(e^(x)+e^(-x))dx`

Text Solution

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`"Let i" = int (e^(x) -e^(-x))/(e^(x) +e^(-x))" dx "`
`"and " (e^(x) -e^(-x))=t`
`rArr " "(e^(x) -e^(-x)) dx =dt`
`:. " "I = int 1/t .dt`
`= " log " |t|+c`
` ="log " |e^(x) +e^(-x) |+C.`
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