Determine an antiderivative of $f(x)=x^3+3x^2-8x-2$.

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Lesson Parent: 
Antiderivatives
Problem: 

Determine an antiderivative of $f(x)=x^3+3x^2-8x-2$.

Answer: 

\[ F(x)=\frac{1}{4}x^4+x^3-4x^2-2x+C\]

SAMPLE SOLUTION

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Solution: 

From this problem we know that in general an antiderivative of a polynomial

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is

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Therefore, the function

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is an antiderivative of $f(x)$.