対数関数の原始関数の一覧
∫ sin  ( ln  x ) d x = x 2 ( sin  ( ln  x ) − cos  ( ln  x ) ) {\displaystyle \int \sin(\ln x)\;dx={\frac {x}{2}}\left(\sin(\ln x)-\cos(\ln x)\right)}
∫ cos  ( ln  x ) d x = x 2 ( sin  ( ln  x ) + cos  ( ln  x ) ) {\displaystyle \int \cos(\ln x)\;dx={\frac {x}{2}}\left(\sin(\ln x)+\cos(\ln x)\right)}