Find the area of the shape bounded by the lines: y = √x y = 0 x = 4.
| June 30, 2021 | education
The function y (x) = √x is defined for x ≥ 0, so the lower limit of integration is 0, and the upper one is bounded by the straight line x = 4.
Therefore, the required area will be expressed in terms of a definite integral:
s = integral (0 to 4) √x dx = (x ^ 1.5) / 1.5 (0 to 4) = 2 * √ (x³) / 3 (0 to 4) = 2 * 8 / 3 = 16/3 units ².
Answer: the given figure has an area of 16/3 units ².
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