United States — College Board
AP Calculus Calculator
Free online calculators for AP Calculus AB and BC exam preparation. Practice derivatives, integrals, limits, and series with step-by-step solutions.
Ages 16-18 · May each year
Calculator Policy
The AP Calculus AB and BC exams each have four sections. A graphing calculator is required for Section I Part B (15 multiple-choice questions, 45 minutes) and Section II Part A (2 free-response questions, 30 minutes). Calculators are not permitted on Section I Part A (30 multiple-choice questions, 60 minutes) or Section II Part B (4 free-response questions, 60 minutes).
- Section I Part A: 30 multiple-choice questions, 60 minutes, no calculator.
- Section I Part B: 15 multiple-choice questions, 45 minutes, graphing calculator required.
- Section II Part A: 2 free-response questions, 30 minutes, graphing calculator required.
- Section II Part B: 4 free-response questions, 60 minutes, no calculator.
- Approved graphing calculators include TI-84 Plus CE, TI-Nspire (non-CAS), Casio fx-9750GII, and HP Prime (in non-CAS mode).
- Calculators with CAS (Computer Algebra System) functionality such as the TI-Nspire CAS and TI-89 are also permitted.
AP Calculus AB vs BC
AP Calculus AB covers limits, continuity, differentiation, and integration, roughly equivalent to a first-semester college calculus course. Students learn the fundamental theorem of calculus, techniques of differentiation (product rule, quotient rule, chain rule), and basic integration methods including u-substitution and the analysis of area and volume problems.
AP Calculus BC includes all AB topics plus sequences and series (including Taylor and Maclaurin series), parametric, polar, and vector-valued functions, and advanced integration techniques such as integration by parts and partial fractions. BC is equivalent to a full year of college calculus (Calculus I and II).
Both exams use the same format: 45 multiple-choice questions (Section I) and 6 free-response questions (Section II). The calculator-active portions test your ability to use a graphing calculator to solve problems that would be impractical by hand, such as finding numerical derivatives, evaluating definite integrals, and analyzing graphs.
Recommended Calculators
Derivative Calculator
Calculate derivatives of any function step by step. Supports higher-order derivatives, partial derivatives, and common functions. Free online tool.
Integral Calculator
Calculate indefinite integrals (antiderivatives) of functions. Symbolic integration with step-by-step display. Free online integral calculator.
Definite Integral Calculator
Calculate definite integrals with upper and lower bounds. Numerical integration using Simpson's rule. Free online definite integral calculator.
Limit Calculator
Calculate limits of functions as a variable approaches a value. Supports left and right limits. Free online limit calculator.
Series Calculator
Evaluate mathematical series and calculate partial sums. Arithmetic, geometric, and custom series. Free online series calculator.
Taylor Series Calculator
Calculate Taylor and Maclaurin series expansions. Find polynomial approximations of functions. Free online Taylor series calculator.
Partial Derivative Calculator
Calculate partial derivatives of multivariable functions. Symbolic differentiation with respect to chosen variable. Free online tool.
Graphing Calculator
Free online graphing calculator. Plot mathematical functions, see graphs, and explore equations visually. No download needed.
Slope Calculator
Calculate slope from two points, find slope-intercept and point-slope form. Free online slope calculator with graphing.
Summation Calculator
Calculate sigma notation sums. Evaluate expressions over a range using summation notation. Free online summation calculator.
Worked Examples
Limit Evaluation
standardFind the limit: lim(x->0) (sin(3x) / x).
Chain Rule Derivative
advancedFind dy/dx if y = ln(cos(x^2)).
Integration by Parts
advancedEvaluate the integral of x * e^x dx.
Convergence of a Series (BC)
advancedDetermine whether the series sum(n=1 to infinity) of (-1)^(n+1) / n converges.
Area Between Curves
advancedFind the area enclosed between y = x^2 and y = x + 2.