NDA | Mathematics | Application of Integration

The area bounded by the curves  and  is:

The area bounded by the curve  and the straight line  is given by

The area in the first quadrant bounded by  is :

At present a firm is manufacturing 2000 items. It is estimated that the rate of change of production P with respect to additional number of workers x is given by dP/dx=100-12√x. if the firm employs 25 more workers, then the new level of production of items is

What is the area of one of the loops between the curve y = c sin x and x-axis?