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Examine the following integrals. Consider the multiple tools available for evaluating integrals and use the best strategy for each part. Evaluate each integral and briefly describe your method. 

  1. Simplify the integrand and then visualize the graph. 
    What type of symmetry does it have? What can you conclude about its area between and ?

  2. This is an indefinite integral. Don't forget the .

  3. Before you integrate, factor the numerator and simplify.

  4. Integrating a derivative gives you the original function .