Determine the antiderivative of $f(x)=2x^2-x+15$.

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Lesson Parent: 
Chapter 26 - Antiderivatives
Problem: 

Determine the antiderivative of $f(x)=2x^2-x+15$.

Answer: 

$F(x)=\frac{2}{3}x^3-\frac{1}{2}x^2+15x+C$

Solution: 

This is a polynomial so we can use Antiderivative Rule 5 to find its antiderivative. Applying the rule we see that
\[
F(x)=\frac{2}{3}x^3-\frac{1}{2}x^2+15x+C
\]
where $C$ is the constant of integration.