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\begin{aligned} T (\hat{α} - 1) & \Rightarrow [W (r) d W + 12 (\int_{0}^{1} r W (r) d r - \frac{1}{2} \int_{0}^{1} W (r) d r) (\int_{0}^{1} W (r) d r - \frac{1}{2} W (1)) \\ - W (1) \int_{0}^{1} W (r) d r] D^{- 1} \\ D F_{τ} & \Rightarrow [W (r) d W + 12 (\int_{0}^{1} r W (r) d r - \frac{1}{2} \int_{0}^{1} W (r) d r) (\int_{0}^{1} W (r) d r - \frac{1}{2} W (1)) \\ - W (1) \int_{0}^{1} W (r) d r] D^{1 / 2} \end{aligned}

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\begin{equation*} \begin{split} T(\hat{\alpha }-1) & \Rightarrow \left[ W(r)dW +12\left(\int _0^1 rW(r)dr -\frac{1}{2}\int _0^1 W(r)dr \right) \left( \int _0^1 W(r)dr - \frac12 W(1)\right) \right. \\ & \quad \left. -W(1) \int _0^1 W(r)dr \right] D^{-1} \\ DF_\tau & \Rightarrow \left[ W(r)dW +12\left(\int _0^1 rW(r)dr -\frac{1}{2}\int _0^1 W(r)dr \right) \left( \int _0^1 W(r)dr - \frac12 W(1)\right) \right. \\ & \quad \left. -W(1) \int _0^1 W(r)dr \right] D^{1/2} \end{split}\end{equation*}