Misc 8 - Integrate e5 log x - e4 log x / e3 log x - e2 log x

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What is the integration of this function [math]I=\displaystyle \int \dfrac{e^{6 \log x}-e^{5 \log x}}{e^{4 \log x}-e^{3 \log x}} \,d x[/math]? - Integrated Maths - Quora

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Bengali] Evaluate : int (e^(6log x)- e^(4logx))/(e^(3logx)- e^(log

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frac { e ^ { operatorname { sing } x } - e ^ { 4 log x } } { e ^ { 3 log x } - e ^ { 2 log x } } )