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\(\int\frac{e^{6\log x}-e^{5\log x}}{e^{4\log x}-e^{3\log x}}dx=\) |
\(x^2+c\) \(\frac{x^2}{2}+c\) \(\frac{x^3}{3}+c\) \(\frac{x^4}{4}+c\) |
\(\frac{x^3}{3}+c\) |
\(\int\frac{e^{6\log x}-e^{5\log x}}{e^{4\log x}-e^{3\log x}}dx=\int\frac{x^6-x^5}{x^4-x^3}dx\) $=\int\frac{x^5(x-1)}{x^3(x-1)}dx$ $=\int x^2dx=\frac{x^3}{3}+C$ |
