Applications of...

If A is the area between the curve y = sin2x , x –axis and the lines x = 

The area bounded by the curves  y² = x and y = x² is

The positive value of the parameter a for which the area of the figure bounded by y = sin ax , y  = 0 , x = x/a  and x = x/3a  is 3 is equal to

The area bounded by the parabolas y = 5x² and y −9 = 2x²  is

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

The area bounded by y = 2cosx , x = 0 to x = 2 πand the axis of x in square units is

The area common to the circle  x² +y² = 16a²  and the parabola  y²  = 6ax is  

The area bounded by the parabola  y²  = 4x and the line x + y = 3 is

The area enclosed by the parabola  y² = 2x and its tangents through the point (-2 , 0) is

The area bounded by the curve  y = x log x and  y = 2x −2x²  is

The area of the figure bounded by the curve  y = log_e x , the x –axis and the straight line x = e is

The area of the region bounded by the curves y = |x −1| and y = 3 - |x| is

The area bounded by the curve y = x² +1and the line x + y = 3 is

The area bounded by the angle bisectors of the lines  x² −y² +2y = 1 and x+y = 3 is

The area bounded by the curves  y= |x −1| and y = 1 is given by