Calculus Integration Cheat Sheet

Calculus Integration Cheat Sheet - If a force offx( ) moves an object ina££xb, the work done is () b a w= ò fxdx average function value : Then () (*) 1 lim i b a n i fxd xx æ• = • ú =â d. © 2005 paul dawkins integrals definitions definite integral: Note that this is often a. Suppose fx( ) is continuous on [ab,]. Web applying the fundamental theorem of calculus to the square root curve, f (x) = x^ {1/2} f (x) = x1/2, we look at the antiderivative, f (x) = \frac {2} {3} \cdot x^\frac {3} {2} f (x) = 32 ⋅x23 , and simply take f (1) − f (0) f (1)−f (0), where 0 0 and 1 1 are the boundaries of the interval [0,1] [0,1]. Divide [ab,] into n subintervals of width dx and choose * x i from each interval. © 2005 paul dawkins work :

If A Force Offx( ) Moves An Object Ina££Xb, The Work Done Is () B A W= Ò Fxdx Average Function Value :

© 2005 paul dawkins integrals definitions definite integral: Then () (*) 1 lim i b a n i fxd xx æ• = • ú =â d. Divide [ab,] into n subintervals of width dx and choose * x i from each interval. Suppose fx( ) is continuous on [ab,].

Note That This Is Often A.

© 2005 paul dawkins work : Web applying the fundamental theorem of calculus to the square root curve, f (x) = x^ {1/2} f (x) = x1/2, we look at the antiderivative, f (x) = \frac {2} {3} \cdot x^\frac {3} {2} f (x) = 32 ⋅x23 , and simply take f (1) − f (0) f (1)−f (0), where 0 0 and 1 1 are the boundaries of the interval [0,1] [0,1].