- （練習用問題）
積分しなさい
-
\begin{align}
\int_{x=1}^{x=2} {1 \over x^2+2x} \, dx
\end{align}
\begin{align}
\int {1 \over (x-1)(x-4)} \, dx
\end{align}
\begin{align}
\int_{x=0}^{x=1}{1\over ( \qquad )} \left\{ {1 \over (x+2)} - {1\over (x+5)} \right\}\, dx
\end{align}
- 部分分数分解しなさい
\begin{align}
{1 \over s^2 (s^2-4) }
\end{align}
\begin{align}
{1 \over s (s^2+4) }
\end{align}
- 積分しなさい
-
\begin{align}
\int {1 \over x (x+2)(x+5)} \, dx
\end{align}
\begin{align}
\int {1 \over x^2-9} \, dx
\end{align}
\begin{align}
\int {x^2+2x+1 \over x^2+1} \, dx
\end{align}
\begin{align}
\int {1 \over x^2-5x+4} \, dx
\end{align}
\begin{align}
\int {2x-5 \over x^2-5x+4} \, dx
\end{align}
|