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Title: Calculus_Cheat_Sheet_All Author: ptdaw Created Date: 11/2/2022 7:21:57 AM
Title: Calculus_Cheat_Sheet_All Author: ptdaw Created Date: 12/9/2022 7:11:52 AM
Calculus Cheat Sheet Visit http://tutorial.math.lamar.edu for a complete set of Calculus notes. © 2005 Paul Dawkins Integrals Definitions Definite Integral: Suppose f x( ) is continuous on [ab,]. Divide [ab,] into n subintervals of width ∆x and choose * x i from each interval. Then ( ) (*) 1 lim i b n a n i f x dx f x x →∞ = ∫ =∑ ∆.
One of the interesting applications of the definite integrals is to determine volumes of the revolution solids. In this section, we study three methods to evaluate the volumes of the revolution solids known as disk method, washer method and method of cylindrical shells.
Definitions Definite Integral: Suppose f ( x ) is continuous Anti-Derivative : An anti-derivative of f ( x ) on [ a , b ] . Divide [ a , b ] into n subintervals of is a function, F ( x ) , such that F ¢ ( x ) = f ( x ) . width D x and choose x. from each interval.
Integral is called convergent if the limit exists and has a finite value and divergent if the limit doesn’t exist or has infinite value. This is typically a Calc II topic.
2+1. ∫ = − arccsch(. |√ ) 2+1. ∫ sinh( ) ∫ csch( ) ∫ sec( ) = cosh( ) = ln (tanh ( 2)) = ln(tan( ) + sec( )) 2 ∫ −.
