Calc05_3 - 5.3 Definite Integrals and Antiderivatives Greg Kelly Hanford High School Richland Washington Page 269 gives rules for working with integrals

Calc05_3 - 5.3 Definite Integrals and Antiderivatives Greg...

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5.3 Definite Integrals and Antiderivatives Greg Kelly, Hanford High School, Richland, Washington
Page 269 gives rules for working with integrals, the most important of which are: 2. ( 29 0 a a f x dx = If the upper and lower limits are equal, then the integral is zero. 1. ( 29 ( 29 b a a b f x dx f x dx = - Reversing the limits changes the sign. ( 29 ( 29 b b a a k f x dx k f x dx = 3. Constant multiples can be moved outside.
1. ( 29 0 a a f x dx = If the upper and lower limits are equal, then the integral is zero. 2. ( 29 ( 29 b a a b f x dx f x dx = - Reversing the limits changes the sign. ( 29 ( 29 b b a a k f x dx k f x dx = 3. Constant multiples can be moved outside. ( 29 ( 29 ( 29 ( 29 b b b a a a f x g x dx f x dx g x dx + = + 4. Integrals can be added and subtracted.
( 29 ( 29 ( 29 ( 29 b b b a a a f x g x dx f x dx g x dx + = + 4. Integrals can be added and subtracted. 5. ( 29 ( 29 ( 29 b c c a b a f x dx