Calculate the area of the figure bounded by the lines: y = x²; y = 0; y = -3.

The area of the figure S will be equal to the integral:

S = ∫x ^ 2 * dx | -3; 0 = 1/3 * x ^ 3 | 0; -3 = -1/3 * (-3) ^ 3 = 9.

Answer: the required area is 9.



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