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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Answer:
P = 3x + 3 - x²
Step-by-step explanation:
Answer:
The area of the trapezium is 18 ft²
Step-by-step explanation:
Given;
Two parallel sides of the polygon as follows;
The first parallel side = 1 ft + 4 ft = 5 ft
The second parallel side = 4 ft
If this polygon is rotated 90 degrees, it forms a trapezium with a height of 4 ft.
The area of a trapezium is calculated as;

Therefore, the area of the trapezium is 18 ft²
The answer is C. Would you like me to explain how I got that?