I.7.33 The Area of a Region

Condition: calculate the area of the figure limited by lines: 1) \ (y = x^{2} \ cos x, \ quad y = 0 \) with \ (0 \ leq x \ leq \ frac {\ pi} {2} \) 2) \ ( \ left \ {\ begin {array} {l} x = 3 \ cos t \\ y = 8 \ sin t {array}, \ quad y = 4 \ squrt {3} \ right. \ sqrt {3} \).