Calculus 4: Function

Calculus Level 3

\[ \large \int_0^1 ~ \frac{1+a^2-2a}{\sqrt[]{a}} ~ \mathrm{d}a \]

If value of the above integral is of the form \(\dfrac{A}{B}\), where \(A\) and \(B\) are coprime positive integers, find the value of \(A -B \).

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