Basic Integration Rules - g x dx ′ = ′ = = ...

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Basic Integration Rules Functional Operations Constant Multiple: ( ) kf x dx = Sum/Difference: [ ] ( ) ( ) f x g x dx + = Product: Non – Existent Quotient: Non – Existent Integrals of Basic Functions Constant Function: 0 dx k dx = = Monomials: n x dx = Trigonometric: 2 2 cos sin sec csc sec tan csc cot x dx x dx x dx x dx x x dx x x dx = = = = = = Exponential Logarithmic 1 x x e dx a dx dx x = = = Chain Rule (Integration by Substitution) ( ( )) ( ) ( ) ( ), ( ) f g x g x dx f u du If u g x then du
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Unformatted text preview: g x dx ′ = ′ = = ∫ ∫ General Power Rule: [ ] ( ) ( ) ( ) n n g x g x dx u du If u g x ′ = = ∫ ∫ Extended Trigonometric: tan cot sec csc udu udu udu udu = = = = ∫ ∫ ∫ ∫ Extended Logarithmic: ( 29 ( 29 ( 29 ( 29 , f x du dx f x u if u f x du f x dx ′ = = ′ = = ⌠ ⌠ ⌡ ⌡ Inverse Trigonometric: 2 2 2 2 2 2 du a u du a u du u u a =-= + =-∫ ∫ ∫...
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This note was uploaded on 06/21/2011 for the course MTH 150 taught by Professor Marioborha during the Summer '11 term at Moraine Valley Community College.

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Basic Integration Rules - g x dx ′ = ′ = = ...

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