Integral x^n cosh(x) | Desmos

Expression 14:

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Expression 15: "n" equals 1

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Integral x^n cosh(x) (n ungerade)

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Expression 17: "x" Superscript, "n" , Baseline hyperbolic cosine left parenthesis, "x" , right parenthesis

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Expression 18: "F" Subscript, "n" , Baseline left parenthesis, "x" , right parenthesis equals hyperbolic sine left parenthesis, "x" , right parenthesis Start sum from "k" equals 0 to StartFraction, "n" minus 1 Over 2 , EndFraction , end sum, StartFraction, "n" ! Over left parenthesis, 2 "k" plus 1 ! , right parenthesis , EndFraction "x" Superscript, 2 "k" plus 1 , Baseline minus hyperbolic cosine left parenthesis, "x" , right parenthesis Start sum from "k" equals 0 to StartFraction, "n" minus 1 Over 2 , EndFraction , end sum, StartFraction, "n" ! Over left parenthesis, 2 "k" , right parenthesis ! , EndFraction "x" Superscript, 2 "k" , Baseline

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Expression 19: "F" Subscript, "n" , Baseline prime left parenthesis, "x" , right parenthesis

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