Question

What is the result?

∫([1/x].dx/x^3)
D=[1/2, 1]

Answer 1

`\displaystyle\int_(.5)^1\frac{1}x(dx)/(x^3)=\int_(.5)^1(dx)/(x^4)=\left[(-1)/(3x^3)\right]_(.5)^1=\frac{7}3`

[Your notation is not 100% clear since you're not using the math tool, so if that's not what you meant, leave a comment and I'll correct the answer.]