The Second Part of the Fundamental Theorem of Calculus (FTC) is a helpful tool for solving definite integrals. It makes things a lot easier! Here’s how it works:

1. Direct Evaluation: This theorem tells us that if $F(x)$ is an antiderivative of $f(x)$, then we can find the integral like this: $\int_{a}^{b} f(x) \, dx = F(b) - F(a)$ What this means is that you don't have to use complicated steps. Just find the antiderivative and put in the limits.

2. Example: Let’s look at the integral $\int_{1}^{3} (3x^2) \, dx$. First, we need to find an antiderivative. In this case, it is $F(x) = x^3$. Now we can use the FTC: $F(3) - F(1) = 3^3 - 1^3 = 27 - 1 = 26$

3. Efficiency: This method not only makes things simpler but also helps you avoid mistakes that might happen when using limits of Riemann sums.

To sum it up, the Second Part of the FTC turns what could be a long and tricky process into a quick and easy calculation.