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`int(dx)/(1+e^(-x))` is equal toA. `1+e^(x)+c`B. `ln(1+e^(-x))+c`C. `ln(1+e^(x))+c`D. `2 ln (1+e^(-x))+c`

Answer» Correct Answer - C
`int(dx)/(1+e^(-x))`
`rArr int (e^(x))/(e^(x)+1)dx`
Let `e^(x)+1=t`
` e^(x) dx = dt`
`= int(dt)/(t)`
`rArr log t + c rArr log(e^(x)+1)+c`


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