u-Substitution with Trigonometric Functions
Learn how to use u-substitution to integrate trigonometric functions and compositions, with a step-by-step method and fully worked AP Calculus AB & BC examples.
u-Substitution with Exponential and Logarithmic Functions
Learn how to use u-substitution to integrate exponential and logarithmic functions, with a step-by-step method and fully worked AP Calculus examples.
u-Substitution with Definite Integrals
Learn how to use u-substitution with definite integrals, including changing the limits of integration, with step-by-step AP Calculus AB & BC examples.
Using Accumulation Functions to Find Extrema
Learn how to use accumulation functions, the Fundamental Theorem of Calculus, and sign analysis to find absolute and relative extrema in AP Calculus AB & BC.
Trapezoidal Sums for Approximating Area
Learn how to use trapezoidal sums to approximate the area under a curve, including the trapezoidal sum formula, tables, calculator methods, and AP Calculus examples.
The Second Fundamental Theorem of Calculus: Accumulation Functions
Learn how accumulation functions work and how the Second Fundamental Theorem of Calculus lets you differentiate an integral with a variable upper limit.
The Reverse Power Rule for Integration
Learn the reverse power rule for integration, including the basic formula, constants, fractional and negative exponents, and fully worked AP Calculus examples.
The Mean Value Theorem for Integrals
Learn the Mean Value Theorem for Integrals, including the average value formula, how to find the guaranteed value, and fully worked AP Calculus examples.
The Fundamental Theorem of Calculus, Part 2
How the Fundamental Theorem of Calculus, Part 2 connects definite integrals and antiderivatives, with a step-by-step method and fully worked examples for AP Calculus AB & BC.
The Fundamental Theorem of Calculus, Part 1
Understand the Fundamental Theorem of Calculus, Part 1, including accumulation functions, the derivative of an integral, and fully worked AP Calculus examples.