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Average Value of a Function. Average Value = 1/b-a * ∫f(x) dx Symmetry: If f(x) is EVEN, then ∫f(x)dx from -a to a = 2∫f(x) from 0 to a If f(x) is ODD, then ∫f(x)dx from -a to a = 0.
28 maj 2023 · Master cheat sheet for Calculus II. Series Type. General Summation. Convergence. Divergence. Notes. Infinite Series. Σa n =Σ ∞n=k a n. Converges if lim n->∞ S n =L. Diverges if lim n->∞ =∞ or DNE. S n is the partial sum of the series: S n =a 1 +a 2 +a 3 +a 4 +...+a n-1 +a n. Harmonic Series. Σ1/n. Never converges. Always diverges.
11 lip 2023 · There are formulas in this class that you will need to know, but they tend to be fairly general. You will need to understand them, how they work, and more importantly whether they can be used or not. As an example, the first topic we will look at is Integration by Parts.
11 kwi 2023 · The most important derivatives and antiderivatives to know. The table below shows you how to differentiate and integrate 18 of the most common functions. As you can see, integration reverses differentiation, returning the function to its original state, up to a constant C.
This free Calculus 2 cheatsheet has a master list of common definitions, symbols, formulas, and notes, all in one place. Easily learn important topics with practice problems and flashcards, export your terms to pdf, and more.
Trigonometric functions like cos(nπ) or sin(nπ+π/2) act as sign alternators, like (-1) n. The Alternating Series Test does not show divergence, however, implementing the test requires a Test For Divergence, which does show divergence.
Calculus 2 Formula Sheet - The Revisionist. On this page, I plan to accumulate all of the math formulas that will be important to remember for Calculus 2. The Area of a Region Between Two Curves. Suppose that f and g are continuous functions with f (x) ≥ g (x) on the interval [a, b].
