Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Determine the area of the shaded region in the following functions 9, 10, 11 please
**Practice Exercises**

**9-30. Finding area** Determine the area of the shaded region in the following figures.

**9.**
- Graph of two functions: \( y = x \) (linear, red) and \( y = x^2 - 2 \) (parabolic, black).
- The shaded region is between the curves, where they intersect.

**10.**
- Graph of two functions: \( y = -x^2 + 4x \) (parabolic, black) and \( y = x^2 - 2x \) (parabolic, red).
- The shaded region lies between the two parabolas.

**11.**
- Graph of two functions: \( y = \frac{6}{x^2 + 1} \) (rational, black) and \( y = 3x^2 \) (parabolic, red).
- The shaded region is the area between these curves.
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Transcribed Image Text:**Practice Exercises** **9-30. Finding area** Determine the area of the shaded region in the following figures. **9.** - Graph of two functions: \( y = x \) (linear, red) and \( y = x^2 - 2 \) (parabolic, black). - The shaded region is between the curves, where they intersect. **10.** - Graph of two functions: \( y = -x^2 + 4x \) (parabolic, black) and \( y = x^2 - 2x \) (parabolic, red). - The shaded region lies between the two parabolas. **11.** - Graph of two functions: \( y = \frac{6}{x^2 + 1} \) (rational, black) and \( y = 3x^2 \) (parabolic, red). - The shaded region is the area between these curves.
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