Question
Suppose that $f^{\prime}(x)=2 x$ for all $x .$ Find $f(2)$ if\begin{equation}\quad \text { a. }f(0)=0 \quad \text { b. } f(1)=0 \quad \text { c. } f(-2)=3.\end{equation}
Step 1
We can find the original function by integrating the derivative. The integral of $2x$ is $x^2$. So, the original function is $f(x) = x^2 + C$, where $C$ is the constant of integration. Show more…
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