AP Calculus AB Score Calculator 2026

1. Fundamental Theorem of Calculus (FTC)

$$\int_a^b f'(x)\,dx = f(b) - f(a)$$

$$\frac{d}{dx}\left[\int_a^{g(x)} f(t)\,dt\right] = f(g(x)) \cdot g'(x)$$

2. Volumes of Revolution (Washer & Disk Method)

$$\text{Disk}: V = \pi \int_a^b [R(x)]^2\,dx$$

$$\text{Washer}: V = \pi \int_a^b \left([R(x)]^2 - [r(x)]^2\right)dx$$

3. Average Value of a Function

$$f_{\text{avg}} = \frac{1}{b - a} \int_a^b f(x)\,dx$$

4. L'Hôpital's Rule for Indeterminate Forms

If $\lim \frac{f(x)}{g(x)} = \frac{0}{0}$ or $\frac{\pm \infty}{\pm \infty}$, then $\lim \frac{f(x)}{g(x)} = \lim \frac{f'(x)}{g'(x)}$.