A) 1
B) 4/3
C) 2/3
D) 2
Correct Answer: D
Solution :
\[\because \] \[x={{y}^{2}}-1,\] \[x=\,\,|y|\sqrt{1-{{y}^{2}}}\] |
\[\therefore \] \[=2\,\,\left[ \int\limits_{0}^{1}{y\sqrt{1-{{y}^{2}}}}dy+\left| \int\limits_{0}^{1}{({{y}^{2}}-1})\,dy \right| \right]\]\[=2\,\,\left[ \frac{1}{3}+\left| -\frac{2}{3} \right| \right]=2\,\,\left[ \frac{1}{3}+\frac{2}{3} \right]=2\] |
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