Question: Evaluate the integral. e 3 ln ( x ) x dx 1 SOLUTION We let u = ln ( x ) because its differential du

Evaluate the integral. e3 ln(x)x dx1 SOLUTION We let u = ln(x) because its differential du = dx/x occurs in the integral. When x =1, u = ln(1)= ; when x = e3, u = ln e3=3. Thus, e3 ln(x)x dx1=3u du0=30

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