1. Evaluate the integral: ∫((e^(2x)−e^(−5x))^2+ ln(e^(1/x))) dx 2. Using cylindrical shells, find the volume of the...

1. Evaluate the integral: ∫((e^(2x)−e^(−5x))^2+ ln(e^(1/x))) dx

2. Using cylindrical shells, find the volume of the solid obtained by taking the region between y=x and y=x^2 for 1≤x≤3 and rotating it about the the line x=−4.

3. Find the average value of the function f(x) = 1/√x on the interval [0,4]. Then find c in [0,4] such that f(c) =f ave.

please help!

Expert Solution

milcah answered 1 year ago

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1. Evaluate the integral: ∫((e^(2x)−e^(−5x))^2+ ln(e^(1/x))) dx 2. Using cylindrical shells, find the volume of the...

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