Integral calculus Community Questions Get a personal path through Integral calculus Integrals In this topic, we are going to connect the two big ideas in Calculus: instantaneous rate and area under a curve. We'll see that a definite integral can be thought of as an infinite sum of infinitely small things and how this connects to the derivative of a function! Integration techniques We know that a definite integral can represent area and we've seen how this is connected to the idea of an anti-derivative through the Fundamental Theorem of Calculus (which is why we also use the integration symbol for anti-derivatives as well). Now, we'll build out our toolkit for evaluating integrals, both definite and indefinite! Integration applications Let's now use our significant arsenal of integration techniques to tackles a wide variety of problems that can be solved through integration! Sequences, series, and function approximation Sequences, series and approximating functions. Maclaurin and Taylor series. AP Calculus practice questions Sample questions from the A.P. Calculus AB and BC exams (both multiple choice and free answer).