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

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

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

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

A function y=f(x) has a second order derivative f''(x)=6(x-1) . If its graph passes through the point (2, 1) and at that point the tangent to the graph is y=3x-5 , then the function is