정답
$\int_a^b f(x)\,dx = \int_a^b f(a + b - x)\,dx$. In particular, $\int_0^a f(x)\,dx = \int_0^a f(a - x)\,dx$.
해설
Adding the original integral $I$ to the transformed integral often eliminates transcendental or trigonometric denominators.
홈 / 라이브러리 / JEE Main Master Class: Calculus, Mechanics, Coordinate Geometry / AI 플래시카드
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$\int_a^b f(x)\,dx = \int_a^b f(a + b - x)\,dx$. In particular, $\int_0^a f(x)\,dx = \int_0^a f(a - x)\,dx$.
Adding the original integral $I$ to the transformed integral often eliminates transcendental or trigonometric denominators.