(1)/(x(x^(n)+1))" [संकेत : अंश एवं हर को "x^(n-1)" से गुणा कीजिए और "x^(n)=t" रखिए "

Integrate the rational functions 1/(x(x^(n)+1)) [Hint: multiply numerator and denominator by x^(n - 1) and put x^(n) = t ]

Integrate the rational functions 1/(x(x^(n)+1)) [Hint: multiply numerator and denominator by x^(n - 1) and put x^(n) = t ]

Integrate the rational functions 1/(x(x^(n)+1)) [Hint: multiply numerator and denominator by x^(n - 1) and put x^(n) = t ]

Integrate the rational functions (1)/(x(x^(n)+1))[ Hint: multiply numerator and denominator by and put x^(n)=t

Integrate the rational functions 1/(x(x^n+1) [Hint: multiply numerator and denominator by x^(n-1) and put x^n=t ]

lim_ (x rarr oo) ((1 ^ ((1) / (x)) + 2 ^ ((1) / (x)) + 3 ^ ((1) / (x)) ++ n ^ ((1 ) / (x))) / (n)) ^ (nx), n in N

The value of ""(n)C_(1). X(1 - x )^(n-1) + 2 . ""^(n)C_(2) x^(2) (1 - x)^(n-2) + 3. ""^(n)C_(3) x^(3) (1 - x)^(n-3) + ….+ n ""^(n)C_(n) x^(n) , n in N is

The value of ""(n)C_(1). X(1 - x )^(n-1) + 2 . ""^(n)C_(2) x^(2) (1 - x)^(n-2) + 3. ""^(n)C_(3) x^(3) (1 - x)^(n-3) + ….+ n ""^(n)C_(n) x^(n) , n in N is

n + (n-1) x + (n-2) x ^ (2) + ....... + 2x ^ (n-2) + x ^ (n-1)

ifint(dx)/(x^2(x^n+1)^(((n-1)/n))=-[f(x)]^(1/n)+c ,t h e nf(x)i s (1+x^n) (b) 1+x^(-1) x^n+x^(-n) (d) none of these