Answer:
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Step-by-step explanation:
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Answer:
30.5 i think
Step-by-step explanation:
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The area of the region bounded by the parabola x = y² + 2 and the line y = x - 8 is; -125/6
<h3>How to find the integral boundary area?</h3>
We want to find the area of the region bounded by the parabola x = y² + 2 and the line y = x - 8.
Let us first try to found the two boundary points.
Put y² + 2 for x in the line equation to get;
y = y² + 2 - 8
y² - y - 6 = 0
From quadratic root calculator, we know that the roots are;
y = -2 and 3
Thus, the area will be the integral;
Area = ∫³₋₂ (y² - y - 6)
Integrating gives;
¹/₃y³ - ¹/₂y - 6y|³₋₂
Plugging in the integral boundary values and solving gives;
Area = -125/6
Read more about Integral Boundary Area at; brainly.com/question/23277151
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