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Evaluate: int(e^(6\ (log)e x)-e^(5\ (log...

Evaluate: `int(e^(6\ (log)_e x)-e^(5\ (log)_e x))/(e^(4\ (log)_e x)-e^(3\ (log)_e x))\ dx`

Text Solution

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`int(frac{e^{6 log x}-e^{5 log x}}{e^{4 log x}-e^{3 log x}}) d x `
`=int(frac{e^{log x^{6}}-e^{log x^{5}}}{e^{log x^{4}}-e^{log x^{3}}}) d x `
`=int(frac{x^{6}-x^{5}}{x^{4}-x^{3}}) d x `
`=int frac{x^{5}}{x^{3}} d x `
`=int x^{2} d x `
`=frac{x^{3}}{3}+C`
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