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Create an object that has a base created by two functions so that when finding the area you need to use two of the following integration methods.

Calculus

TASK

  1. Create an object that has a base created by two functions so that when finding the area you need to use two of the following integration methods. Then find the volume of the object. In the description of the object, it must be something real. For example, a building or a sculpture. Be creative. For volume, If the top of the building is the same as the base and the sides go straight up, use
  2. ������=(����������)⋅ℎ���ℎ�
  3. . If the object goes to a point, the formula is
  4. ������=13(����������)⋅ℎ���ℎ�
  5. . If you choose something more complicated, feel free to consult about volume.
    • Integration by Parts
    • Trig Methods
    • Inverse Trig Substitution
    • Partial Fraction Decomposition
  1. Explain the situation in detail. (Short paragraph.)
  2. State the problem to be solved.
  3. Give a complete solution, showing the steps carefully.

. Create a situation that requires a Power Series to solve.

  1. Explain the situation in detail. (Short paragraph.)
  2. State the problem to be solved.
  3. Give a complete solution, showing the steps carefully
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