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Examine the integral .

  1. Explain why this integral cannot be evaluated exactly using any of our integration tools.

  2. Estimate , using a Riemann sum with left-endpoint rectangles.

  3. Use a substitution in the expansion of to get a th degree polynomial approximation of .

  4. Estimate using the polynomial of part (c).

  5. How could we have improved our answers to parts (b) and (d)?

    Use more ________.