双曲線関数の原始関数の一覧
∫ cosh  ( a x + b ) sin  ( c x + d ) d x = a a 2 + c 2 sinh  ( a x + b ) sin  ( c x + d ) − c a 2 + c 2 cosh  ( a x + b ) cos  ( c x + d ) + C {\displaystyle \int \cosh(ax+b)\sin(cx+d)\,dx={\frac {a}{a^{2}+c^{2}}}\sinh(ax+b)\sin(cx+d)-{\frac {c}{a^{2}+c^{2}}}\cosh(ax+b)\cos(cx+d)+C\,}
∫ cosh  ( a x + b ) cos  ( c x + d ) d x = a a 2 + c 2 sinh  ( a x + b ) cos  ( c x + d ) + c a 2 + c 2 cosh  ( a x + b ) sin  ( c x + d ) + C {\displaystyle \int \cosh(ax+b)\cos(cx+d)\,dx={\frac {a}{a^{2}+c^{2}}}\sinh(ax+b)\cos(cx+d)+{\frac {c}{a^{2}+c^{2}}}\cosh(ax+b)\sin(cx+d)+C\,}