Let `f :R to [(3)/(4), oo)` be a surjective quadratic function with line of symmetry `2x -1=0 and f (1) =1`
`int (e ^(x))/(f (e ^(x)))dx`

Let f :R to [(3)/(4), oo) be a surjective quadratic function with line of symmetry 2x -1=0 and f (1) =1 If g (x)=(f(x)+f(-x))/(2 ) then int (dx)/(sqrt(g (e ^(x))-2)) is equal to:

Let f :R to [(3)/(4), oo) be a surjective quadratic function with line of symmetry 2x -1=0 and f (1) =1 If g (x)=(f(x)+f(-x))/(2 ) then int (dx)/(sqrt(g (e ^(x))-2)) is equal to:

Let f:R rarr[4,oo) be an onto quadratic function whose leading coefficient is 1, such that f'(x)+f'(2-x)=0 Then the value of,int_(1)^(3)(dx)/(f(x)) is equal to

Let f:(0,oo)->R be a differentiable function such that f'(x)=2-f(x)/x for all x in (0,oo) and f(1) =1 , then

Let f:R rarr[0,oo) be a differentiable function so that f'(x) is continuous function then int((f(x)-f'(x))e^(x))/((e^(x)+f(x))^(2))dx is equal to

Let f:(0,oo)->R be a differentiable function such that f'(x)=2-f(x)/x for all x in (0,oo) and f(1)=1 , then

Let f:(0,oo)->R be a differentiable function such that f'(x)=2-f(x)/x for all x in (0,oo) and f(1)=1 , then

Let f (x) be a quadratic function such that f (0) =1 and f(-1)=4, ifint(f(x))/(x^(2)(1+x)^(2))dx is a rational function then the value of f(10)

Let f (x) be a quadratic function such that f (0) =1 and f(-1)=4, ifint(f(x))/(x^(2)(1+x)^(2))dx is a rational function then the value of f(10)

Let f : [-1, 2]to [0, oo) be a continuous function such that f(x)=f(1-x), AA x in [-1, 2] . If R_(1)=int_(-1)^(2)xf(x)dx and R_(2) are the area of the region bounded by y=f(x), x=-1, x=2 and the X-axis. Then :