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$\int (\frac{e^{5 logx} - e^{4 logx}}{e^{3 logx} - e^{2 logx}}) dx =$

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3x²+ c

x + c

x²/2 + c

x²/3 + c

answer is C.

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Detailed Solution

$\int [\frac{e^{5 logx} - e^{4 logx}}{e^{3 lng x} - e^{2 lig x}}] dx = \int \frac{x^{5} - x^{4}}{x^{3} - x^{2}} dx = \int x^{2} dx = \frac{x^{3}}{3} + c$

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