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derivitives, integration, and trig formulas Flashcards

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59719243sin^2 x + cos^2 x1
597192441 + tan^2 xsec^2 x
597192451 + cot^2 xcsc^2 x
59719246sin(-x)-sin x
59719247cos(-x)cos x
59719248tan(-x)-tan x
59719249sin(A + B)sin A cos B + sin B cos A
59719250sin(A - B)sin A cos B - sin B cos A
59719251cos(A + B)cos A cos B - sin A sin B
59719252cos(A - B)cos A cos B + sin A sin B
59719253sin 2x2 sin x cos x
59719254cos 2x (1)cos^2 x - sin^2 x
59719255cos 2x (2)2cos^2 x - 1
59719256cos 2x (3)1 - 2sin^2 x
59719257tan x1/ cot x
59719258cot x1/ tan x
59719259sec x1/ cos x
59719260csc x1/ sin x
59719261cos(pi/2 - x)sin x
59719262sin(pi/2 - x)cos x
59719263d/dx (x^n)nx^n - 1
59719264d/dx (fg)fg' + gf'
59719265d/dx (f/g)(gf' - fg')/g^2
59719266d/dx f(g(x))f'(g(x))g'(x)
59719267d/dx (sin x)cos x
59719268d/dx (cos x)- sin x
59719269d/dx (tan x)sec^2 x
59719270d/dx (cot x)- csc^2 x
59719271d/dx (sec x)sec x tan x
59719272d/dx (csc x)-csc x cot x
59719273d/dx (e^x)e^x
59719274d/dx (a^x)a^x ln a
59719275d/dx (ln x)1/x
59719276d/dx (Arcsin x)1/(sqrt(1 - x^2))
59719277d/dx (Arctan x)1/(1 + x^2)
59719278∫ a dxax + c
59719279∫ 1/x dxln | x | + c
59719280∫ e^x dse^x + c
59719281∫ a^x dxa^x/ ln a + c
59719282∫ ln x dxx ln x - x + c
59719283∫ sin x dx-cos x + c
59719284∫ cos x dxsin x + c
59719285∫ tan x dx (1)ln |sec x| + c
59719286∫ tan x dx (2)-ln |cos x| + c
59719287∫ cot x dxln |sin x| + c
59719288∫ sec x dxln |sec x + tan x| + c
59719289∫ csc x dx-ln |csc x + cot x| + c
59719290∫ sec^2 x dxtan x + c
59719291∫ sec x tan x dxsec x + c
59719292∫ csc^2 x dx- cot x + c
59719293∫ csc x cot x dx- csc x + c
59719294∫ tan^2 x dxtan x - x + c
59719295∫ dx/(a^2 + x^2)1/a Arctan (x/a) + c
59719296∫ dx/(sqrt(a^2 - x^2))Arcsin (x/a) + c

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