Integrate[z^3 SinhIntegral[a z] SinhIntegral[b z], z] == (1/8) ((2 (3 (a^2 - b^2)^2 (a^4 + b^4) CoshIntegral[(a - b) z] - 3 (a^2 - b^2)^2 (a^4 + b^4) CoshIntegral[(a + b) z] + a b (a b Sinh[a z] (b (a^4 + 2 a^2 b^2 - 3 b^4) z Cosh[b z] + (-3 a^4 + 14 a^2 b^2 - 3 b^4) Sinh[b z]) + Cosh[a z] ((6 b^6 + a^2 b^4 (-10 + b^2 z^2) - 2 a^4 b^2 (5 + b^2 z^2) + a^6 (6 + b^2 z^2)) Cosh[b z] + a^2 b (-3 a^4 + 2 a^2 b^2 + b^4) z Sinh[b z]))))/ (a^4 (a - b)^2 b^4 (a + b)^2) - (1/b^4) (2 (b z (6 + b^2 z^2) Cosh[b z] - 3 (2 + b^2 z^2) Sinh[b z]) SinhIntegral[a z]) + (1/a^4) (2 ((-a) z (6 + a^2 z^2) Cosh[a z] + 3 (2 + a^2 z^2) Sinh[a z] + a^4 z^4 SinhIntegral[a z]) SinhIntegral[b z]))

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2001-10-29