`int(dx)/((x^(2)+1)^(2))`

int(dx)/(x^(2)(x-1)^(2))

int(dx)/((x^(2)-1)(1-2x))=

int(dx)/((x^(2)+1)(x^(2)+4))=

int(dx)/((1+x^(2))^(7/2))

int(3dx)/((x^(2)+1)(x^(2)+4))=

Integration of rational functions I = int(dx)/((x^(2)+1)(x^(2)+4))

int(dx)/((2x^(2)-x-1))

int(x^2dx)/((x^(3)+1)^(2))

int(dx)/((x^(3)-1)^((2)/(3))x^(2)) is equal to

If int (dx)/((x^(2)+a^(2))^(2))=(1)/(ka^(2)){(x)/(x^(2)+a^(2))+(1)/(a) tan^(-1). (x)/(a)}+C . Then the value of k, is