### Home > APCALC > Chapter 4 > Lesson 4.4.1 > Problem4-135

4-135.

The area under the graph of the function $f$ from $t = 0$ to $t = x$ can be calculated using the function $F\left(x\right) = 3\left(x – 4\right)^{3} + 6$. What is the equation of $f\left(t\right)$? Explain how this is an application of the Fundamental Theorem of Calculus.

Expand $F\left(x\right)$ before antidifferentiating.