1) Evaluate the integral from 0 to 1 (e^(2x) (x^2 + 4) dx) (a) What is...

1) Evaluate the integral from 0 to 1 (e^(2x) (x^2 + 4) dx)
(a) What is the first step of your ‘new’ integral?
(b) What is the final antiderivative step before evaluating?
(c) What is the answer in simplified exact form?

2) indefinite integral (cos^2 2theta) / (cos^2 theta) dtheta
(a) What is the first step of your ‘new’ integral?
(b) What is the simplified integral before taking the antiderivative?
(c) What is the answer in simplified form?

Expert Solution

milcah answered 1 year ago

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!

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