Calculate the area of the figure bounded by the parabola y = x ^ 2 + 1, straight lines x = 1 x = -2 and the abscissa axis.
| September 8, 2021 | education
The area of the figure S bounded by these graphs will be equal to:
S = ∫ (x ^ 2 + 1) * dx | -2; 1 = (1/3 * x ^ 3 + x) | -2; 1 = 1/3 * 1 + 1 – (1/3 * (-2) ^ 3 – 2) = 1/3 + 1 + 8/3 + 2 = 6.
Answer: the area S of the figure bounded by a given parabola and the abscissa axis is 6.
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