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0-x-3-8-x-2-3x-dx-where-is-the-greatest-integer-function-




Question Number 144897 by physicstutes last updated on 30/Jun/21
∫_0 ^(([x])/3) (8^x /2^([3x]) ) dx= ??? where [.] is the greatest integer function.
$$\underset{\mathrm{0}} {\overset{\frac{\left[{x}\right]}{\mathrm{3}}} {\int}}\frac{\mathrm{8}^{{x}} }{\mathrm{2}^{\left[\mathrm{3}{x}\right]} }\:{dx}=\:???\:\mathrm{where}\:\left[.\right]\:\mathrm{is}\:\mathrm{the}\:\mathrm{greatest}\:\mathrm{integer}\:\mathrm{function}. \\ $$

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