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Integration Using Polynomial Long Division

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∫6x2−4x−25x−2 dx=\int \frac{6x^2 - 4x - 25}{x - 2} \, dx =

A

2x3−2x2−25xx22−2x+C\dfrac{2x^3 - 2x^2 - 25x}{\dfrac{x^2}{2} - 2x} + C

B

3x2+8x+9(x−2)2+C3x^2 + 8x + \dfrac{9}{(x - 2)^2} + C

C

(2x3−2x2−25x)ln⁡∣x−2∣+C(2x^3 - 2x^2 - 25x) \ln|x - 2| + C

D

3x2+8x−9ln⁡∣x−2∣+C3x^2 + 8x - 9 \ln|x - 2| + C

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