" If "int((x-1)^(2))/((x^(2)+1)^(2))dx=tan^(-1)x+g(x)+c" then "g(x)=

If ((x- 1)^(2))/((x^(2) +1)^(2)) dx = tan^(-1) x + g (x) + c then g (x) =

If int e^(x)(tan^(-1)x+(2x)/((1+x^(2)))^(2))dx=e^(x)(tan^(-1)x+g(x))+c where g(x) is a rational function, c is constant of integration then find the value of 20[g(2)] .

" 1.If "int(1)/((x^(2)+1)(x^(2)+4))dx=G tan^(-1)x+H tan^(-1)((x)/(2))+C,C in A." Then "G=.......,H=...?

If int(x^(4)+1)/(x^(6)+1)dx=tan^(-1)f(x)-(2)/(3)tan^(-1)g(x)+C, then both f(x) and g(x) are odd functions f(x) is monotonic function f(x)=g(x) has no real roots int(f(x))/(g(x))dx=-(1)/(x)+(3)/(x^(3))+c

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

Let int(x^((1)/(2)))/(sqrt(1-x^(3)))dx=(2)/(3)g(f(x))+c then

If int(x-1)/(x^(2)sqrt(2x^(2)-2x-1))dx=(sqrt(f(x)))/(g(x))+c then the value of f(x) and g(x) is

If int(1)/((x^2+1)(x^2+4))dx=a tan^(-1). x+b tan^(-1).(x)/(2)+c , then :

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

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