MATH 2B Chapter Notes - Chapter CHAPTER 4 (4.9): Antiderivative, Differentiable Function

• School: UC-Irvine
• Department: Mathematics
• Course: MATH 2B
• Professor: Roberta Pluta

Document Summary

An antiderivative of a function ! is a differentiable function " which satisfies "# = !. Function derivative sin " sin " + 1 sin " + 1 cos " The most general antiderivative of ! " Every continuous function has an antiderivative. antiderivatives of cos + sin + + 4 sin + + 3 sin + + 2 sin + + 1 sin + we. sin + 2. The indefinite integral of the function cos + is the collection of all its antiderivatives. Cos + -+ = sin + + 0, where 0 is a constant. The most general antiderivative of % # = " ( The most general antiderivative of % # = /( The indefinite integral of the function !" is the collection of all its antiderivatives. There are two closely related notions of the integral, namely the indefinite and the definite integral.