2020-수학-가형-홀수-8¶
문제¶
풀이¶
from sympy import *
x = Symbol('x')
expr = integrate((log(x)-1)/x**2, x)
expr
\[\displaystyle - \frac{\log{\left(x \right)}}{x}\]
expr.subs(x,E**2)-expr.subs(x,E)
\[\displaystyle - \frac{2}{e^{2}} + e^{-1}\]
ans = integrate((log(x)-1)/x**2, (x,E,E**2))
simplify(ans)
\[\displaystyle \frac{-2 + e}{e^{2}}\]