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You can get the indefinite integral answer in terms of hypergeometric functions with the additional argument algorithm='sympy'. It seems to me, as you point out, that `algorithm='maxima`` (default, I guess) gives a wrong answer for even $n$..

You can get the indefinite integral answer in terms of hypergeometric functions with the additional argument algorithm='sympy'. It seems to me, as you point out, that `algorithm='maxima`` algorithm='maxima' (default, I guess) gives a wrong answer for even $n$..

You can get an expression for the indefinite integral answer in terms of hypergeometric functions with the additional argument algorithm='sympy'. It seems to me, as you point out, that algorithm='maxima' (default, I guess) gives a wrong answer for even $n$..

You can get an expression for the indefinite integral in terms of hypergeometric functions with the additional argument algorithm='sympy'. It seems to me, as you point out, that algorithm='maxima' (default, I guess) gives a wrong answer for even $n$..$n$.