Let 2[x+14]∫0{x2}dx={x}∫0[x+14] dx, where [⋅] and {⋅} denotes – InterviewSolution

1.	Let 2[x+14]∫0{x2}dx={x}∫0[x+14] dx, where [⋅] and {⋅} denotes the greatest integer and fractional part of x respectively. Then [x]+1414 is equal to
Answer» Let $2 [x + 14] \int 0 {\frac{x}{2}} d x = {x} \int 0 [x + 14] d x$ , where $[\cdot]$ and ${\cdot}$ denotes the greatest integer and fractional part of $x$ respectively. Then $\frac{[x] + 14}{14}$ is equal to

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