LaTeX 解答生成・検査パイプライン

実行日時: 2026-08-13T18:19:58（ID: 20260813-181958-8dc797） ← 履歴一覧に戻る

¥item 次の不定積分を求めよ。
¥begin{enumerate}
  ¥item $¥displaystyle ¥int_{0}^{¥frac{¥pi}{4}} ¥cos^2 x dx$ ¥vspace{15ZW}
  ¥item $¥displaystyle ¥int_{0}^{¥frac{¥pi}{3}} ¥dfrac{1}{¥cos x} dx$ ¥vspace{15ZW}
  ¥item  $¥displaystyle ¥int_{1}^{2} x^2 e^x dx$ ¥vspace{15ZW}
  ¥item  $¥displaystyle ¥int_{1}^{2} x e^{x^2} dx$ ¥vspace{15ZW}
  ¥item $¥displaystyle ¥int_{1}^{e} ¥dfrac{¥log x}{x} dx$ ¥vspace{15ZW}
  ¥item $¥displaystyle ¥int_{1}^{e} x (¥log x)^2 dx$ ¥vspace{15ZW}
  ¥item $¥displaystyle ¥int_{0}^{1} x^2¥sqrt{4-x^2} dx$ ¥vspace{15ZW}
  ¥item $¥displaystyle ¥int_{-1}^{0} ¥frac{1}{x^2+2x+2}dx$ ¥vspace{15ZW}
¥item $¥displaystyle ¥int_{0}^{4} ¥sqrt{4 x-x^{2}} d x$ ¥vspace{22ZW}
¥end{enumerate}

\item
\begin{enumerate}
  \item $\dfrac{\pi}{8}+\dfrac{1}{4}$
  \item $\log(2+\sqrt{3})$
  \item $2e^2-e$
  \item $\dfrac{e^4-e}{2}$
  \item $\dfrac{1}{2}$
  \item $\dfrac{e^2-1}{4}$
  \item $\dfrac{\pi}{3}-\dfrac{\sqrt{3}}{4}$
  \item $\dfrac{\pi}{4}$
  \item $2\pi$
\end{enumerate}

誤りなし

\item
\begin{enumerate}
  \item $\dfrac{\pi}{8}+\dfrac{1}{4}$
  \item $\log(2+\sqrt{3})$
  \item $2e^2-e$
  \item $\dfrac{e^4-e}{2}$
  \item $\dfrac{1}{2}$
  \item $\dfrac{e^2-1}{4}$
  \item $\dfrac{\pi}{3}-\dfrac{\sqrt{3}}{4}$
  \item $\dfrac{\pi}{4}$
  \item $2\pi$
\end{enumerate}