If g(x) is an antiderivative of `f(x) = 1+2^x log2` whose graph passes through `(-1,1/2)`. The curve y = g(x) meets y -axis at

g(x) is an antiderivative of f(x)=1+2^(x) log2 whose graph passes through (-1,1) .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

If the antiderivative of (x^(3))/(sqrt((1+2x^(2)))) which passes through (1,2) is

Let F(x) be the antiderivative of f(x)=3 cosx-2sinx whose graph passes through the point ((pi)/(2),1) . Then F((pi)/(3)) is equal to……..

Let F(x) be the antiderivative of f(x) = 1/(3+5 sin x + 3cos x) whose graph passes through the point (0,0). Then (F(pi//2))/(log8//3) is equal to

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

If f (x) is the anti-derivative of tan^(-1) sqrt(x) such that the curve y = f(x) passes through the point (0,2) then f(x) =