다음 적분을 구하라.
$$\int_0^1(1-x)^2dx$$
풀이
\(\displaystyle\int_0^1(1-x)^2dx=\left[-\frac{1}{3}(1-x)^3\right]_0^1\)
\(\displaystyle=-\frac{1}{3}(1-1)^3-\left(-\frac{1}{3}(1-0)^3\right)=\frac{1}{3}\)
다음 적분을 구하라.
$$\int_0^1(1-x)^2dx$$
풀이
\(\displaystyle\int_0^1(1-x)^2dx=\left[-\frac{1}{3}(1-x)^3\right]_0^1\)
\(\displaystyle=-\frac{1}{3}(1-1)^3-\left(-\frac{1}{3}(1-0)^3\right)=\frac{1}{3}\)