How would you integrate this $\int_{1}^{\infty}\dfrac {\{x\}\cos (ax)}{x^b}\mathrm {d}x$?

109 Views Asked by At

$$\displaystyle\int_{1}^{\infty}\dfrac {\{x\}\cos (ax)}{x^b}\mathrm {d}x$$ here $\{x\}$ represents the fractional part and can be denoted by $$\{x\}=x- \lfloor x \rfloor $$