The sketch below represents the bounded area of the curve of the function defined by f(x)=x² + 3 V Determine the shaded area bou
1 answer:
Based on the function for the bounded area of the curve, the shaded area bounded by the curve and the x-axis between the points where x = -2 and x = 1 is 12 units².
<h3>What is the area of the shaded area?</h3>To find the shaded area, you need to integrate the function of the bounded area as shown below:
= ∫(x² + 3) dx
This gives:
= (x³/3 + 3)
= (1 / 3 + 3) - (8 /3 - 6)
= 1/3 + 3 + 8/3 + 6
= 9/3 + 9
= 12 units²
In conclusion, shaded area bounded by the curve and the x-axis between the points where x = -2 and x = 1 is 12 units².
Find out more on the area of a shaded region at brainly.com/question/1297097.
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