$$$20 \pi \sin{\left(x \right)} \sin{\left(4 \pi x \right)} \sin{\left(12 \pi x \right)} \cos{\left(x \right)}$$$の積分

この計算機は、手順を示しながら$$$20 \pi \sin{\left(x \right)} \sin{\left(4 \pi x \right)} \sin{\left(12 \pi x \right)} \cos{\left(x \right)}$$$の不定積分（原始関数）を求めます。

$$$\int 20 \pi \sin{\left(x \right)} \sin{\left(4 \pi x \right)} \sin{\left(12 \pi x \right)} \cos{\left(x \right)}\, dx$$$ を求めよ。

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