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51. Find the area of the region enclosed between the two circles x² + y² = 4 and (x - 2)² + y² = 4.

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52. Find the area of the region enclosed between the two circles x² + y² = 1 and (x - 1)² + y² = 1.

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53. Find the area of the region enclosed between the two circles x² + y² = 1 and

open parentheses straight x minus 1 half close parentheses squared plus straight y squared space equals space 1.

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54. Find the area of the region bounded by two parabola 4 y = x² and 4 x = y²

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55. Find the area included between the two curves y² = 9x and ,x² = 9y. Also draw the rough sketch.

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56.

Calculate the area of the region bounded by the y = x² and x = y².

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57. Draw a graph of y² = 16 x and x² = 16y, and evaluate the area between them.

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58. Find the area of the region included between the parabolas y² = 4 a x and x² = 4 a y, a > 0.

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59. Draw the rough sketch of y² = x + 1 and y² = - x + 1 and determine the area enclosed by the two curves.

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60. Find the area of the region
{(x, y): 0 ≤ y ≤ x² + 1 , 0 ≤ y ≤ x + 1, 0 ≤ x ≤ 2}.

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