The graph of the antiderivative of `f(x)=xe^((x)/(2))` passes through (0, 3), then the value of `g(2)-f(0)` is

The anti - derivative of f(x) = e^(x//2) whose graph passes through the point (0,3) is :

The anti - derivative of f(x) = e^(x//2) whose graph passes through the point (0,3) is :

Let f(x)=(9x)/(25)+c, c gt 0 . If the curve y=f^(-1)(x) passes through ((1)/(4), -(5)/(4)) and g(x) is the antiderivative of f^(-1)(x) such that g(0)=(5)/(2) , then the value of [g(1)] is, (where [.] represents the greatest integer function)

Let F(x) be the anti derivative of f(x)=3cos x-2sin x whose graph passes through the the point ((pi)/(2),1) then F(0) is equal to=-

Find the antiderivative of f(x) = In (In x) + (In x)^-2 whose graph passes through (e, e) .

g(x) is an antiderivative of f(x)= 1+2^(x)" log 2 whose graph passes through (-1,1/2) .The curve y=g(x) meets y - axis at

The antiderivative of f (x) = log (log x ) + 1/(log x)^(2) whose graph passes through (e,e) is

Find the antiderivative of f(x) given by f'(x)=4x^(3)-(3)/(x^(4)) such that f(2)=0 .