Determine the antiderivative of $f(x)=x$.

Primary tabs

Lesson Parent: 
Chapter 26 - Antiderivatives
Problem: 

Determine the antiderivative of $f(x)=x$.

Answer: 

$F(x)=x^2/2$

Solution: 

Since $f(x)=x=x^1$, we can use Antiderivative Rule 4 to find that
\begin{eqnarray}
F(x)&=&\frac{1}{1+1}x^{1+1}\\
&=&\frac{1}{2}x^2.
\end{eqnarray}