EXERCISE . . Find the area of the region bounded by , x = − , x = and x -axis. .
Find the area of the region bounded by + = , y = − , y = and y -axis. . Find the area of the region bounded by the curve , x -axis, x = − and x = . .
Find the area of the region bounded by the line y and the parabola y . . Find the area of the region bounded between the curves y = sin and y = cos and the lines x = and x = π . .
Find the area of the region bounded by y = tan , y = cot and the lines x = , x = π , y = . . Find the area of the region bounded by the parabola y = and the line y − . of - - Applications of Integration .
Father of a family wishes to divide his square field bounded by x = , x = , y = and y = along the curve y and x into three equal parts for his wife, daughter and son. Is it possible to divide? If so, find the area to be divided among them. .
The curve y ) + has a minimum point at P . A point Q on the curve is such that the slope of PQ is . Find the area bounded by the curve and the chord PQ . .
Find the area of the region common to the circle x and the parabola y