Applications of the Integrals Test - 2

The area bounded by the curve y = 4x - x² and the x- axis is equal to

The area of the smaller segment cut off from the circle  x² +y²  = 9by x = 1 is

For which of the following values of m , is the area of the region bounded by the curve y = x - x²  and the line y = mx equal to  9/2  ?

The area of the region bounded by the parabola  (y −2)²  = x −1,the tangent to yhe parabola at the point (2 , 3) and the x –axis is equal to

The area of the loop between the curve y = a sin x and the x –axis and x = 0 , x = π. is

The area bounded by the curve  y²  = x,line y = 4 and y –axis is equal to

The area enclosed by the curve  xy² = a² (a  − x) and the y –axis is

The area bounded by the curve y = x[x], the x –axis and the ordinates x = 1 and x = -1 is given by

The area bounded by the curves y = cos x and y = sin x between the ordinates x = 0 and  x = π/2 is equal to