If the integral `int(x^(4)+x^(2)+1)/(x^(2)x-x+1)dx=f(x)+C,` (where C is the constant of integration and `x in R`), then the minimum value of `f'(x)` is

If the integral int(x^(4)+x^(2)+1)/(x^(2)-x+1)dx=f(x)+C, (where C is the constant of integration and x in R ), then the minimum value of f'(x) is

If B=int(1)/(e^(x)+1)dx=-f(x)+C , where C is the constant of integration and e^(f(0))=2 , then the value of e^(f(-1)) is

If B=int(1)/(e^(x)+1)dx=-f(x)+C , where C is the constant of integration and e^(f(0))=2 , then the value of e^(f(-1)) is

If the integral I=inte^(x^(2))x^(3)dx=e^(x^(2))f(x)+c , where c is the constant of integration and f(1)=0 , then the value of f(2) is equal to

If the integral I=inte^(x^(2))x^(3)dx=e^(x^(2))f(x)+c , where c is the constant of integration and f(1)=0 , then the value of f(2) is equal to

if int xe^(2x) dx = e^(2x).f(x)+c , where c is the constant of integration, then f(x) is

If the integral I=inte^(sinx)(cosx.x^(2)+2x)dx=e^(f(x))g(x)+C (where, C is the constant of integration), then the number of solution(s) of f(x)=g(x) is/are

What is int(x^(4) +1)/(x^(2) + 1)dx equal to ? Where 'c' is a constant of integration

If I=int(dx)/(x^(2)-2x+5)=(1)/(2)tan^(-1)(f(x))+C (where, C is the constant of integration) and f(2)=(1)/(2) , then the maximum value of y=f(sinx)AA x in R is

If I=int(dx)/(x^(2)-2x+5)=(1)/(2)tan^(-1)(f(x))+C (where, C is the constant of integration) and f(2)=(1)/(2) , then the maximum value of y=f(sinx)AA x in R is