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4-105.
  1. A function has a derivative of f ′(x) = 6x2 + 12x − 7. Homework Help ✎

    1. If f(0) = 0, what was the original function?

    2. If f(−2) = 25, what was the original function?

    3. Describe how you found the constant of integration in parts (a) and (b).

Solve for C by evaluating f(x) at f(0) = 0.

Note: you could also use the expression

f(x) = 2x³ + 6x² − 7x + C
Evaluate the given point to solve for C.

Note: you could also use the expression

Refer to hints in part (a) and (b).