If `I=int(dx)/(root(3)(x^((5)/(2))(1+x)^((7)/(2))))=kf(x)+c`, where c is the integration constant and `f(1)=(1)/(2^((1)/(6)))`, then the value of f(2) 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

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(1+x^(4))/((1-x^(4))^((3)/(2)))dx=(1)/(sqrt(f(x)))+C (where, C is the constant of integration) and f(2)=(-15)/(4) , then the value of 2f((1)/(sqrt2)) is

If I=int(1+x^(4))/((1-x^(4))^((3)/(2)))dx=(1)/(sqrt(f(x)))+C (where, C is the constant of integration) and f(2)=(-15)/(4) , then the value of 2f((1)/(sqrt2)) 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 I=int(x^(3)-1)/(x^(5)+x^(4)+x+1)dx=(1)/(4)ln(f(x))-ln(g(x))+c (where, c is the constant of integration) and f(0)=g(0)=1 ,then the value of f(1).g(1) is equal to

If I=int(x^(3)-1)/(x^(5)+x^(4)+x+1)dx=(1)/(4)ln(f(x))-ln(g(x))+c (where, c is the constant of integration) and f(0)=g(0)=1 ,then the value of f(1).g(1) 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 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