Initial program 13.8
\[\left(\frac{\pi}{2} \cdot \frac{1}{b \cdot b - a \cdot a}\right) \cdot \left(\frac{1}{a} - \frac{1}{b}\right)\]
Applied simplify9.3
\[\leadsto \color{blue}{\left(\frac{1}{a} - \frac{1}{b}\right) \cdot \frac{\frac{\pi}{2}}{\left(b + a\right) \cdot \left(b - a\right)}}\]
- Using strategy
rm Applied frac-sub9.3
\[\leadsto \color{blue}{\frac{1 \cdot b - a \cdot 1}{a \cdot b}} \cdot \frac{\frac{\pi}{2}}{\left(b + a\right) \cdot \left(b - a\right)}\]
Applied associate-*l/9.3
\[\leadsto \color{blue}{\frac{\left(1 \cdot b - a \cdot 1\right) \cdot \frac{\frac{\pi}{2}}{\left(b + a\right) \cdot \left(b - a\right)}}{a \cdot b}}\]
Applied simplify0.2
\[\leadsto \frac{\color{blue}{\frac{\frac{\pi}{2}}{a + b}}}{a \cdot b}\]
- Using strategy
rm Applied *-un-lft-identity0.2
\[\leadsto \frac{\frac{\frac{\pi}{2}}{\color{blue}{1 \cdot \left(a + b\right)}}}{a \cdot b}\]
Applied div-inv0.2
\[\leadsto \frac{\frac{\color{blue}{\pi \cdot \frac{1}{2}}}{1 \cdot \left(a + b\right)}}{a \cdot b}\]
Applied times-frac0.3
\[\leadsto \frac{\color{blue}{\frac{\pi}{1} \cdot \frac{\frac{1}{2}}{a + b}}}{a \cdot b}\]
Applied simplify0.3
\[\leadsto \frac{\color{blue}{\pi} \cdot \frac{\frac{1}{2}}{a + b}}{a \cdot b}\]
