MCQ
The area bounded by the curves $y=\left|x^{2}-1\right|$ and $y=1$ is.
- A$\frac{2}{3}(\sqrt{2}+1)$
- B$\frac{4}{3}(\sqrt{2}-1)$
- C$2(\sqrt{2}-1)$
- ✓$\frac{8}{3}(\sqrt{2}-1)$
✓
Answer
Correct option: D.
$\frac{8}{3}(\sqrt{2}-1)$
d
Area $=$ ABCDEA
Area $=$ ABCDEA
$=2\left(\int_{0}^{1}\left(1-\left(1-x^{2}\right)\right) d x+\int_{1}^{\sqrt{2}}\left(1-\left(x^{2}-1\right)\right) d x\right)$
$=\frac{8}{3}(\sqrt{2}-1)$
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