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|(loge, loge^(2),loge^(3)),(loge^(2),log...

`|(loge, loge^(2),loge^(3)),(loge^(2),loge^(3),loge^(4)),(loge^(3),loge^(4),loge^(5))|=`

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int \ 1/x{loge^(e x)*loge^(e^2x) * loge^(e^3x)}dx

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If g(x)=|[a^(-x),e^(x log_e a),x^2],[a^(-3x),e^(3x log_e a),x^4],[a^(-5x),e^(5x log_e a),1]| , then

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I=int \ log_e (log_ex)/(x(log_e x))dx

I=int \ log_e (log_ex)/(x(log_e x))dx