Integration Rules Cheat Sheet - Then () (*) 1 lim i b a n i fxdxfxx fi¥ = ¥ ò =då. Suppose fx( ) is continuous on [ab,]. \int (f (x)+ g (x)) dx = \int f (x)dx + \int g (x)dx ∫ (f (x)+g(x))dx = ∫ f (x)dx+∫ g(x)dx. ∫ c f ( x) d x = c ∫ f ( x) d x. Divide [ab,] into n subintervals of width d x and choose * xi from each interval. Web the constant rule for indefinite integrals: \int cf (x)dx = c\int f (x)dx ∫ cf (x)dx = c∫ f (x)dx. © 2005 paul dawkins integrals definitions definite integral: The sum rule for indefinite integrals: ∫ ( f ( x) + g ( x)) d x = ∫ f ( x) d x + ∫ g ( x) d x.
Then () (*) 1 lim i b a n i fxdxfxx fi¥ = ¥ ò =då. ∫ c f ( x) d x = c ∫ f ( x) d x. © 2005 paul dawkins integrals definitions definite integral: \int cf (x)dx = c\int f (x)dx ∫ cf (x)dx = c∫ f (x)dx. \int (f (x)+ g (x)) dx = \int f (x)dx + \int g (x)dx ∫ (f (x)+g(x))dx = ∫ f (x)dx+∫ g(x)dx. Web the constant rule for indefinite integrals: Suppose fx( ) is continuous on [ab,]. ∫ ( f ( x) + g ( x)) d x = ∫ f ( x) d x + ∫ g ( x) d x. The sum rule for indefinite integrals: Divide [ab,] into n subintervals of width d x and choose * xi from each interval.