Find the area bounded by `y=1/(x^2-2x+2)` and x-axis.

Find the area bounded by y=sin^(-1)(sinx) and x-axis for x in [0,100pi]

Find the area bounded by y=x^3-x and y= x^2+xdot

Find the area bounded by x=2y-y^2 and the y-a x i s .

Find the area bounded by y=-x^(3)+x^(2)+16x and y=4x

"If "f: [-1,1]rarr[-(1)/(2),(1)/(2)]:f(x)=(x)/(1+x^(2)), then find the area bounded by y=f^(-1)(x), the x -axis and the lines x=(1)/(2), x=-(1)/(2).

Find the area bounded by the curves y=x^(3)-x and y=x^(2)+x.

Find the area bounded by the curve y=4x(x-1)(x-2) and the x-axis.

A curve C passes through (2,0) and the slope at (x , y) as ((x+1)^2+(y-3))/(x+1)dot Find the equation of the curve. Find the area bounded by curve and x-axis in the fourth quadrant.

Find the area bounded by y=x^(2) and y=x^(1//3)" for "x in [-1,1].

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).