Determine an antiderivative of $f(x)=125x^{24}+32x^2-16x+2$.

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Lesson Parent: 
Antiderivatives
Problem: 

Determine an antiderivative of $f(x)=125x^{24}+32x^2-16x+2$.

Answer: 

\[ F(x)=5x^{25}+\frac{32}{3}x^3-8x^2+2x+C \]

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 $f(x)$.