Cheat Sheet Integrals - Divide [ab,] into n subintervals of width dx and choose * x i from each interval. Trig substitutions if the integral contains the following root use the given substitution and formula. © 2005 paul dawkins integrals definitions definite integral: © 2005 paul dawkins integrals definitions definite integral: Suppose fx( ) is continuous on [ab,]. Then () (*) 1 lim i b a n i fxdxfxx fi¥ = ¥ ò =då. Suppose fx( ) is continuous on [ab,]. Then () (*) 1 lim i b a n i fxd xx æ• = • ú =â d. Divide [ab,] into n subintervals of width d x and choose * xi from each interval.
Suppose fx( ) is continuous on [ab,]. Divide [ab,] into n subintervals of width d x and choose * xi from each interval. © 2005 paul dawkins integrals definitions definite integral: Trig substitutions if the integral contains the following root use the given substitution and formula. 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,]. © 2005 paul dawkins integrals definitions definite integral: Then () (*) 1 lim i b a n i fxdxfxx fi¥ = ¥ ò =då.