Find the area of the figure bounded by the graphs of the function y = 2 + x ^ 2, x = 0, x = 1.
| August 22, 2021 | education
The area of the figure S limited by the graph of the function is determined by the formula:
S = ∫f (x) 8 dx / x1; x2.
In this case, we get:
S = ∫ (2 + x ^ 2) * dx | 0; 1 = (2x + 1/3 * x ^ 3) | 0; 1 = (2 * 1 + 1/3 * 1) – (2 * 0 + 1/3 * 0 ^ 3) = 2 + 1/3 = 2 1/3.
Answer: The area you are looking for is 2 1/3.
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