" Given that "(1)/(x(x^(n)+1))dx

int(1)/(x(x^(n)+1))dx

int(dx)/(x(x^(n)+1))

int(1)/(x+x^(-n))dx=

Given that int (dx)/((1+ x ^(2))^n)=(x)/(2 (n-1)(1+x^(2) )^(n-1))+((2n -3))/(2(n-1))int (dx)/((1+ x ^(2))^(n-1)). Find the vlaue of int _(0)^(1) (dx)/((1+x ^(2) )^(4)), (you may or may not use reduction formula given)

Given that int (dx)/((1+ x ^(2)))=(x)/(2 (n-1)(1+x^(2) )^(n-1))+((2n -3))/(2(n-1))int (dx)/((1+ x ^(2))^(n-1)). Find the vlaue of int _(0)^(1) (dx)/((1+x ^(2) )^(4)), (you may or may not use reduction formula given)

If y=1+(x)/(1!)+(x^(2))/(2!)+(x^(3))/(3!)+ . . .+(x^(n))/(n!) , prove that (dy)/(dx)+(x^(n))/(n!)=y

Evaluate int(dx)/(x(x^(n)+1))