Integral Formulas

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

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