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Examine the integral .

  1. Explain why this integral cannot be evaluated exactly.

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

  3. Use substitution and the sixth-degree Maclaurin polynomial for to get an approximation of .

  4. Estimate using your polynomial from part (c).

  5. How can you improve your answers to parts (b) and (d)?

    Use more ________.