LaTeX 解答生成・検査パイプライン

実行日時: 2026-08-07T16:05:22（ID: 20260807-160522-9e37e5） ← 履歴一覧に戻る

¥item 次の定積分を計算せよ。
  ¥begin{edaenumerate}

¥item $¥displaystyle ¥int_{0}^{1} ¥sqrt{2 x-x^{2}} d x$ ¥vspace{22ZW}
¥item $¥displaystyle ¥int_{0}^{¥frac{¥pi^{2}}{4}} ¥sin ¥sqrt{x} dx$
¥item $¥displaystyle ¥int_{0}^{¥frac{¥pi}{2}} x^3 ¥sin x d x$ ¥vspace{22ZW}
¥item $¥displaystyle ¥int_{0}^{1} x^{2} e^{2 x} d x$
¥item $¥displaystyle ¥int_{0}^{¥frac{¥pi}{3}} ¥frac{x}{¥cos ^{2} x} d x$
¥item $¥displaystyle ¥int_{0}^{¥frac{¥pi}{2}} e^{x} ¥sin x d x$


  ¥end{edaenumerate}

\item
  \begin{edaenumerate}
    \item $\dfrac{\pi}{4}$
    \item $2$
    \item $\dfrac{3\pi^{2}}{4}-6$
    \item $\dfrac{e^{2}-1}{4}$
    \item $\dfrac{\sqrt{3}\pi}{3}-\log 2$
    \item $\dfrac{e^{\frac{\pi}{2}}+1}{2}$
  \end{edaenumerate}

誤りなし

\item
  \begin{edaenumerate}
    \item $\dfrac{\pi}{4}$
    \item $2$
    \item $\dfrac{3\pi^{2}}{4}-6$
    \item $\dfrac{e^{2}-1}{4}$
    \item $\dfrac{\sqrt{3}\pi}{3}-\log 2$
    \item $\dfrac{e^{\frac{\pi}{2}}+1}{2}$
  \end{edaenumerate}