$\int_2^5 2[x] d 18x=\{$ where $[x]$ denotes the greatest integer function $\leq x\}$

Question

Aicharya · Accepted Answer

$\begin{aligned} & 	ext { Let } I=\int_2^5 2[x] d x \ & =\int_2^3 2(2) d x+\int_3^4 2(3) d x+\int_4^5 2(4) d x \ & =4[x]_2^3+6[x]_3^4+8[x]_4^5=4+6+8=18\end{aligned}$

$\int_2^5 2[x] d 18x=\{$ where $[x]$ denotes the greatest integer function $\leq x\}$

Solution