Evans Frazier
12/03/2023 · Elementary School
In Exercises \( 6-8 \), Evaluate the following. Show all the steps like we did in our class to earn the credits. 6. \( \int_{1}^{4} \frac{-2 \log _{2} x}{x} d x \). NOT allowed to use Chegg or other such websites. NO Desmos, Calculator and/or any other graphing website and/or utilities. (a) Change the base (b) Let \( \mathrm{z}=\ln \) ( ) (c) From part (b) find \( d z= \) (d) Use parts (a) -(c) to write the definite integral in terms of z (e) Integrate part(d) and write your final answer in simplest form.
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The final answer is \( -4 \ln 2 \).
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