Integral Formulas

Integral Formulas - Integral Formulas x n 1 x dx = n 1 c...

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Unformatted text preview: Integral Formulas x n +1 ∫ x dx = n + 1 + c − cos kx ∫ sin kx dx = k + c sin kx ∫ cos kx dx = k + c 2 ∫ sec x dx = tan x + c n 2 ∫ csc x dx = − cot x + c ∫ sec x tan x dx = sec x + c ∫ csc x cot x dx = − csc x + c Rules for Integration Constant Multiple Rule: Rule for Negatives: Sum and Difference Rule: Zero: Additivity: ∫ k f ( x) dx = k ∫ f ( x) dx ∫ − f ( x) dx = −∫ f ( x) dx ∫ [ f ( x) ± g ( x)]dx = ∫ f ( x) dx ± ∫ ∫ f ( x) dx = 0 a a g ( x ) dx ∫ a b f ( x) dx + ∫ f ( x) dx = ∫ f ( x) dx b a c c sin = 1 csc cos = 1 sec tan = 1 cot sin 2 x + cos 2 x = 1 1 + tan 2 x = sec 2 x 1 + cot 2 x = csc 2 x sin 2 x = cos 2 x = 1 − cos 2 x 2 1 + cos 2 x 2 ...
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