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http://functions.wolfram.com/01.19.21.1056.01
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Integrate[z^n Cos[b z^2] Sinh[c z^2], z] == (-(1/8)) z^(1 + n)
((((-I) b - c) z^2)^((1/2) (-1 - n)) Gamma[(1 + n)/2, ((-I) b - c) z^2] +
((I b - c) z^2)^((1/2) (-1 - n)) Gamma[(1 + n)/2, (I b - c) z^2] -
(((-I) b + c) z^2)^((1/2) (-1 - n)) Gamma[(1 + n)/2, ((-I) b + c) z^2] -
((I b + c) z^2)^((1/2) (-1 - n)) Gamma[(1 + n)/2, (I b + c) z^2]) /;
Element[n, Integers] && n >= 0
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