`int(a*x^(n-1))/(bx^n+c)dx` where `a,b,c` are real nuber `n epsilon N`

consider the sequence x_(n),n>=1, defined as : x_(n)=(1+(2)/(n^(a)))^(-n^(6))*n^(c) where a,b and c are real numbers.Which of the following arc true?

where c is the constant of integration and m,n in N ,the find the valuc of (m+n). If int(dx)/(1+sqrt(x+1)+sqrt(x))=ax+b sqrt(x)+c int sqrt((x+1)/(x))dx where a,b,care constant,then find the value of (a+b+c)

(b) int(x^(n-1)dx)/(sqrt(a^n+x^n))

Maximum number of real solution for the equation ax^(n)+x^(2)+bx+c=0,"where "a,b,c in R and n is an even positive number, is

Maximum number of real solution for the equation ax^(n)+x^(2)+bx+c=0,"where "a,b,c in R and n is an even positive number, is

Maximum number of real solution for the equation ax^(n)+x^(2)+bx+c=0,"where "a,b,c in R and n is an even positive number, is

int(dx)/(x(a+bx^(n))^(2))

If ("lim")_(xrarr0)({(a-n)n x-tanx}sinn x)/(x^2)=0, where n is nonzero real number, the a is 0 (b) (n+1)/n (c) n (d) n+1/n

If ("lim")_(xrarr0)({(a-n)n x-tanx}sinn x)/(x^2)=0, where n is nonzero real number, the a is 0 (b) (n+1)/n (c) n (d) n+1/n