다음 부정적분을 구하라.
$$\int\left(\frac{1}{x^3}-\frac{1}{x^2}\right)dx$$
풀이
\(\displaystyle\int\left(\frac{1}{x^3}-\frac{1}{x^2}\right)dx=\int\left(x^{-3}-x^{-2}\right)dx\)
\(\displaystyle=\frac{1}{-2}x^{-2}-(-1)x^{-1}+C\)
\(\displaystyle=-\frac{1}{2x^2}+\frac{1}{x}+C\)