# How do you integrate #f(x)=(2-2x+2x^2-2x^3-3x^4)(1+x-2x^2-3x^3)# using the product rule?

one step at a time, beginning at the beginning.

Formula, then: f g' + f' g

Really simple, huh?

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To integrate the function ( f(x) = (2 - 2x + 2x^2 - 2x^3 - 3x^4)(1 + x - 2x^2 - 3x^3) ) using the product rule, follow these steps:

- Expand the product ( f(x) ).
- Use the power rule to integrate each term.
- Apply the sum rule to find the total integral.

The integral of ( f(x) ) will be the sum of the integrals of each expanded term.

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