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`(1)/((e^(x)-1))` [संकेत: `e^(x)=t` रखिये]

Integrate the rational functions (1)/((e^(x)-1))[ Hint : Put e^(x)=t

Integrate the rational functions 1/((e^(x)-1)) [Hint : Put e^(x) = t]

Integrate the rational functions 1/((e^(x)-1)) [Hint : Put e^(x) = t]

Integrate the rational functions 1/((e^(x)-1)) [Hint : Put e^(x) = t]

Integrate the rational functions 1/((e^x-1) [Hint : Put e^x=t ]

Let f(x) = (e^(x)+1)/(e^(x)-1) and int_0^(1)( (e^(x)+1)/(e^(x)-1)) x dx = lambda , then int_(-1)^(1) t f(t) dt =

If e^(x)+e^(y)=e^(x+y) , prove that : (dy)/(dx)=-(e^(x)(e^(y)-1))/(e^(y)(e^(x)-1)) .

if int dx/(e^(x) (e^(x)+1)^(2))=(2e^(x)+1)/(e^(x)(e^(x)+1))+ k log|1+e^(-x)|+c then the value of k is -