Question

Which statement explains the Fundamental Theorem of Calculus for the function below?

$$f(t)=4t-1,\quad G(x)=\int_2^x f(t)\,dt$$

Accepted Answer

$$\begin{aligned}G'(x) &= f(x) = 4x - 1\G(2) &= 0\end{aligned}$$

Answer

$$\begin{aligned}G'(x) &= f(2) = 7\G(2) &= 0\end{aligned}$$

Answer

$$\begin{aligned}G'(x) &= f(x) = 4x - 1\G(2) &= 1\end{aligned}$$

Answer

$$\begin{aligned}G'(x) &= -f(x) = -4x + 1\G(2) &= 0\end{aligned}$$

Practice: Integration - Fundamental Theorem Statement to Interpretation