6. (5 marks) Consider the region within the circle x² + y² = 4 that lies above the line y = 1,shown below. (a) Use techniques of integration to calculate the area of the shaded region. (b) Verify your answer to part (a) by calculating the area without using calculus (i.e. byusing basic geometry).

Fig: 1

Fig: 2

Fig: 3

Fig: 4