Determine an antiderivative of $f(x)=5x^2+3x-10$.

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Lesson Parent: 
Antiderivatives
Problem: 

Determine an antiderivative of $f(x)=5x^2+3x-10$.

Answer: 

\[F(x)=\frac{5}{3}x^3+\frac{3}{2}x^2-10x+C\]

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 $f(x)$.