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1) Evaluate the following integral. LaTeX: int^{frac{pi}{2}}_04^{sin x}cos xdx:

2) Evaluate the following integral. LaTeX: intfrac{ln^2x+2ln x-1}{x}dx

3) Texas was the third fastest growing state in the United States in 2016. Texas grew from 25.1 million in 2010 to 26.47 million in 2016. Use an exponential growth model to predict the population of Texas in 2025.

4) Evaluate the following integral. LaTeX: int^4_0frac{sec:h:^2:sqrt[]{x}}{sqrt[]{x}}dx

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