The area enclosed (in square units) by the curve `y=x^(4)-x^(2)`, the X-axis and the vertical lines passes through the two minimum points of the curve is

Calculate the area bounded by the curve y=x(3-x)^(2) the x-axis and the ordinates of the maximum and minimum points of the curve.

Calculate the area bounded by the curve y=x(3-x)^2 the x-axis and the ordinates of the maximum and minimum points of the curve.

The area (in square units) bounded by the curve y=x^(3), the x -axis and the ordinates at x=-2 and x=1 is

Show that the area bounded by the curve y=(ln x-c)/(x), the x-axis and the vertical line through the maximum point of the curve is independent of the constant c.

Calculated the area bounded by the curve y=x (3-x)^(2) the x-axis and the ordinates of maximum and minimum points of the curve.

The area enclosed by the curve y =( x^(2))/(2) , the x-axis and the lines x = 1, x = 3 , is

The area (in square unit) bounded by the curve y= sec x, the x-axis and the lines x=0 and x=(pi)/(4) is-

Area enclosed by the curve y = sin^(2)x , the X-axis and the lines x=0, x=pi//2 is