Formulas

# Formulas - Differentiation Formulas f x sin x tan x sec x...

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Differentiation Formulas f ( x ) f ( x ) sin x cos x tan x sec 2 x sec x sec x tan x a x a x ln a log a x 1 ln a 1 x sin 1 x 1 x 2 tan 1 x 1 1 + x 2 tanh x sech 2 x coth x csch 2 x sech x sech x tanh x csch x csch x coth x Integration Formulas sec xdx = ln sec x + tan x + C dx 2 x 2 = sin 1 x a + C dx a 2 + x 2 = 1 a tan 1 x a + C dx 2 + x 2 = sinh 1 x a + C , a > 0 Miscellaneous log a x = ln x ln a = log x log a a x = e x ln a Trigonometric Identities tan 2 A + 1 = sec 2 A sin2 A = 2sin A cos A cos2 A = cos 2 A sin 2 A sin( A ± B ) = sin A cos B ± cos A sin B cos( A ± B ) = cos A cos B sin A sin B tan( A ± B ) = tan A ± tan B 1 tan A tan B sin 2 A 2 = 1 2 (1 cos A ) cos 2 A 2 = 1 2 + cos A ) sin A cos B = 1 2 sin( A B ) + sin( A + B ) cos A cos B = 1 2 cos( A B ) + cos( A + B ) sin A sin
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