If the area bounded by `y = f(x),` the x-axis, the y-axis and `x = t(t > 0)` is `t^2,` then find f(x).

Find the area bounded by x=2y-y^(2) and the y-axis .

Find the area bounded by the curve f(x) =4-|x| and the x axis

Let f(x)=Min {x^(2)+1,x+1} for 0 <= x <= 2 .If A is the area bounded by y=f(x) , the x -axis in the interval [0,2] then find the integral part of A

Find the area bounded by the parabola y=x (4-x) and the x-axis

Find a continuous function f, where (x^(4)-4x^(2))lef (x) le (2x^(2)-x^(3)) such that the area bounded by y=f(x), y=x^(4)-4x^(2), the y-axis, and the line x=t," where "(0letle2) is k times the area bounded by y=f(x),y=2x^(2)-x^(3), y-axis, and line x=t("where "0le t le 2).

The area bounded by the curve y= f(x) and the lines x=0, y=0 and x=t , lies in the interval

The area bounded by y = f(x), x-axis and the line y = 1, where f(x)=1+1/x int_1^xf(t)dt is

Find the area bounded by y = sin x and axis of x in (0 , pi)

Find the area bounded by y = sin x and axis of x in (0 , pi)