Applications of...

The area enclosed between the curves y = x³ ,x- axis and two ordinates x = 1 to x = 2 is [in square units]

The area bounded by y = log x , the x –axis and the ordinates x = 1 and x = 2 is

The area bounded by the curves  y²  = x³  and |y| = 2x is given by

The area bounded by the curve y = 2x - x² and the line x + y = 0 is

The area bounded by the parabola y = x²  and the line y = x is

Area of the region bounded by the curves y = e^x , x = a , x = b and the x- axis is given by

The area bounded by the curves  y² = 4x and y = x is equal to

The area bounded by the curves  y = √x, 2y+3 = x and the x- axis in the first quadrant is

Let y be the function which passes through (1 , 2) having slope (2x + 1) . The area bounded between the curve and the x –axis is

AOB is the positive quadrant of the ellipse   in which OA = a and OB = b . The area between the arc AB and chord AB of the ellipse is

The area common to the circle  x² +y²  = 16 and the parabola  y² = 6x is

The area included between the curves   is equal to

The area bounded by the curves y²  = 20x and  x²  = 16y is equal to

The area bounded by the curves  

The area of the region bounded by the curves y = |x −2|, x = 1 , x = 3 and the x –axis is