Determine an antiderivative of f(x)=125x24+32x2−16x+2.

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Lesson Parent: 
Antiderivatives
Problem: 

Determine an antiderivative of f(x)=125x24+32x2−16x+2.

Answer: 

F(x)=5x25+323x3−8x2+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).