A) \[0\]
B) \[\frac{1}{3}\]
C) \[\frac{1}{6}\]
D) None
Correct Answer: B
Solution :
Required area \[=\int\limits_{-1}^{1}{|y|dx}=\int\limits_{-1}^{1}{|{{x}^{5}}|}\,dx=2\int\limits_{0}^{1}{|{{x}^{5}}|dx}\] \[=2\int\limits_{0}^{1}{{{x}^{5}}dx}=2\left[ \frac{{{x}^{6}}}{6} \right]_{0}^{1}=\frac{2}{6}=\frac{1}{3}\]You need to login to perform this action.
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