Calculate the area of a shape bounded by lines: y = x ^ {2}, y = 0, x = 0, x = 3
| August 9, 2021 | education
Let’s calculate the area of the figure bounded by the lines:
y = x ^ {2};
y = 0;
x = 0;
x = 3.
S = (0 to 3) ∫ x ^ 2 dx = (0 to 3) (x ^ (2 + 1) / (2 + 1) = (0 to 3) (x ^ 3/3) = ( 0 to 3) (1/3 * x ^ 3) = 1/3 * 3 ^ 3 – 1/3 * 0 ^ 3 = 1/3 * 3 ^ 3 – 0 = 3 ^ 3/3 = 3 * 3 ^ 2/3 = 1 * 9/1 = 9/1 = 9;
As a result, we got that the area of the figure bounded by the lines is S = 9.
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