解答
$\int_a^b f(x)\,dx = \int_a^b f(a + b - x)\,dx$. In particular, $\int_0^a f(x)\,dx = \int_0^a f(a - x)\,dx$.
解説
Adding the original integral $I$ to the transformed integral often eliminates transcendental or trigonometric denominators.
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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.