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Can someone please help me solve the following calculus problem for my homework?

enter image description here

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    $\begingroup$ It is probably just a cute way of saying $\int x^2 dx $ or $\int 2x dx$ $\endgroup$ – Prahlad Vaidyanathan Nov 18 '13 at 16:41
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    $\begingroup$ @Prahlad: I’d interpret as $\int x^2\,dx$, but I’d also explain that I was doing so, interpreting juxtaposition as product the product orange segment with orange segment rather than as two orange segments. $\endgroup$ – Brian M. Scott Nov 18 '13 at 16:44
  • $\begingroup$ Upvote for pic. $\endgroup$ – GTX OC Nov 18 '13 at 16:45
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    $\begingroup$ Have you tried integration by orange parts? $\endgroup$ – Tom Nov 18 '13 at 17:08
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    $\begingroup$ So the answer is the top thirds of three mandarin orange segments plus a coconut? $\endgroup$ – Jyrki Lahtonen Nov 18 '13 at 17:15
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Hint: Let $x$ be "orange segment".

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Looking at the symbolism the only possible solutions is$$\int x.x dx=?$$ $$\int x^2dx=\frac{x^3}{3}=\frac{x.x.x}{1+1+1}$$

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