A) 0
B) 1/3
C) 2/3
D) None of these
Correct Answer: C
Solution :
[c] Required area\[=\left| \int_{-1}^{0}{x|x|dx} \right|\] \[=\left| \left| \int_{-1}^{0}{x|x|dx} \right| \right|+\left| \int_{1}^{0}{x|x|dx}= \right|\left| \int_{-1}^{0}{{{x}^{2}}dx} \right|+\int_{0}^{1}{{{x}^{2}}dx}\]\[=\left| \left[ -\frac{{{x}^{3}}}{3} \right]_{-1}^{0} \right|-{{\left[ \frac{{{x}^{3}}}{3} \right]}^{1}}_{0}=\frac{1}{3}+\frac{1}{3}+\frac{2}{3}\]You need to login to perform this action.
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