Question

The sketch below represents the bounded area of the curve of the function defined by f(x)=x² + 3 V Determine the shaded area bounded by the curve and the x-axis between the points where x = -2 and x = 1​

Answer 1

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.

What is the area of the shaded area?

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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