MA101 Study Guide - Final Guide: Improvised Explosive Device
Document Summary
Ma101 lab report 5 - antiderivatives; ftoc; cumulative change; average value; A function f is called an antiderivative of the continuous function f on interval i if f (x) = f (x) for all x i. For example, the general antiderivative of f (x) = 2x is f (x) = x2 + c, where c is a constant, as d dx(cid:0)x2 + c(cid:1) = 2x. The following is a brief table of antidi erentiation formulae: General antiderivative af (x) (where a is constant) af (x) + c f (x) g(x) F (x) g(x) + c eax ax a (where a is constant) ax + c cos (ax) xn, n 6= 1. + c xn+1 n + 1 ln|x + a| + c sin (ax) sec2 (ax) 1 a ax ln a eax + c. 1 a sin (ax) + c cos (ax) + c tan (ax) + c.
