A) 360J
B) 240J
C) - 240J
D) - 360J
Correct Answer: A
Solution :
[a] \[W=\int\limits_{-4}^{-2}{F\,dx}\] \[W=\int\limits_{-4}^{-2}{-\,6{{x}^{3}}\,dx}\] \[=\int\limits_{2}^{4}{-\,6{{x}^{3}}\,dx}\] \[=6\left[ \frac{{{x}^{4}}}{4} \right]_{2}^{4}\] \[=\frac{6}{4}\left[ {{x}^{4}} \right]_{2}^{4}\] \[=\frac{6}{4}\left[ {{(4)}^{4}}-{{(2)}^{4}} \right]\] \[=\frac{6}{4}[256-16]\] \[=\frac{6}{4}\times 240\Rightarrow 360J\]
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