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" 21."(1)/((e^(x)-1))[" संकेत ":e^(x)=t"...

" 21."(1)/((e^(x)-1))[" संकेत ":e^(x)=t" रखिए "]

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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]

int(2e^(5x)+e^(4x)-4e^(3x)+4e^(2x)+2e^(x))/((e^(2x)+4)(e^(2x)-1)^(2))dx= a) "tan"^(-1)(e^(x))/(2)-(1)/(e^(2x)-1)+C b) "tan"^(-1)e^(x)-(1)/(2(e^(2x)-1))+C c) "tan"^(-1)(e^(x))/(2)-(1)/(2(e^(2x)-1))+C d) 1-"tan"^(-1)((e^(x))/(2))+(1)/(2(e^(2x)-1))+C

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 -

Let f(x)=(e^(x)+1)/(e^(x)-1) and int_(0)^(1) x^(3) .(e^(x)+1)/(e^(x)-1) dx= alpha "Then" , int_(-1)^(1) t^(3) f(t) dt is equal to

Let f(x)=(e^(x)+1)/(e^(x)-1) and int_(0)^(1) x^(3) .(e^(x)+1)/(e^(x)-1) dx= alpha "Then" , int_(-1)^(1) t^(3) f(t) dt is equal to

Let f(x)=(e^(x)+1)/(e^(x)-1) and int_(0)^(1) x^(3) .(e^(x)+1)/(e^(x)-1) dx= alpha "Then" , int_(-1)^(1) t^(3) f(t) dt is equal to

Let f(x)=(e^(x)+1)/(e^(x)-1) and int_(0)^(1) x^(3) .(e^(x)+1)/(e^(x)-1) dx= alpha "Then" , int_(-1)^(1) t^(3) f(t) dt is equal to