Calculate the area of a curved trapezoid bounded by lines y = x2 y = 0 x = 1 x = 2.
| April 1, 2021 | education
The area S of the curved trapezoid formed by the given lines will be equal to the integral:
S = ∫x ^ 2 * dx | 1; 2 = 1 / 3x ^ 3 | 1; 2 = 1/3 * (3 ^ 3 – 2 ^ 3) = 1/3 * (9 – 4) = 5/3 …
Answer: the required area of the curved trapezoid formed by the given lines is 5/3.
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