Question

`int(dx)/(e^(x) -1)` का मान ज्ञात कीजिये |

Answer 1

माना `I = int (dx)/(e^(x) -1)`
`= int (dx)/(e^(x)( 1-e^(-x)))" "("नोट कीजिये ")`
`= int (e^(-x) dx)/(1-e^(-x))`
माना `1 -e^(-x)= t rArr e^(-x) dx = dt`
`therefore" "I = int(dt)/(t) = log t = log (1- e^(x))`