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∫12(x⌊x2⌋+⌊x2⌋x) dx\large \int_{1}^{2} \left(x^{\lfloor x^2 \rfloor} + {\lfloor x^2 \rfloor}^{x} \right) \, dx∫12(x⌊x2⌋+⌊x2⌋x)dx
The integral above can be expressed asab+c+de+2f−2glnh+i−3jlnk. \dfrac{a}{b} + \sqrt{c} + \dfrac{\sqrt{d}}{e} + \dfrac{2^{\sqrt{f}}-2^{\sqrt{g}}}{\ln h } + \dfrac{i - 3^{\sqrt{j}}}{ \ln k}.ba+c+ed+lnh2f−2g+lnki−3j. What is the sum of all of these constants from a\displaystyle{a}a to k?\displaystyle{k}?k?
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