Find the area of a figure bounded by the Ox axis and the parabola y = (1-x) (x + 2)
| September 28, 2021 | education
Let’s set the original equation to 0.
(1 – x) * (x + 2) = 0
x1 = 1 x2 = -2
The area S bounded by the parabola will be equal to the integral:
∫ (-x ^ 2 + x + 3) * dx | -2; 1 = – 1/3 * x ^ 3 + 1/2 * x ^ 2 + 3 * x | -2; 1 =
– (-1/3 + 1/2 + 3) + (8/3 + 2 – 6) = 20/3 – 3 1/6 = 40/6 – 19/6 = 21/6.
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