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.](https://www.tinkutara.com/question/Q144897.png)
$$\underset{\mathrm{0}} {\overset{\frac{\left[{x}\right]}{\mathrm{3}}} {\int}}\frac{\mathrm{8}^{{x}} }{\mathrm{2}^{\left[\mathrm{3}{x}\right]} }\:{dx}=\:???\:\mathrm{where}\:\left[.\right]\:\mathrm{is}\:\mathrm{the}\:\mathrm{greatest}\:\mathrm{integer}\:\mathrm{function}. \\ $$