derivitives, integration, and trig formulas Flashcards

59719243	sin^2 x + cos^2 x	1
59719244	1 + tan^2 x	sec^2 x
59719245	1 + cot^2 x	csc^2 x
59719246	sin(-x)	-sin x
59719247	cos(-x)	cos x
59719248	tan(-x)	-tan x
59719249	sin(A + B)	sin A cos B + sin B cos A
59719250	sin(A - B)	sin A cos B - sin B cos A
59719251	cos(A + B)	cos A cos B - sin A sin B
59719252	cos(A - B)	cos A cos B + sin A sin B
59719253	sin 2x	2 sin x cos x
59719254	cos 2x (1)	cos^2 x - sin^2 x
59719255	cos 2x (2)	2cos^2 x - 1
59719256	cos 2x (3)	1 - 2sin^2 x
59719257	tan x	1/ cot x
59719258	cot x	1/ tan x
59719259	sec x	1/ cos x
59719260	csc x	1/ sin x
59719261	cos(pi/2 - x)	sin x
59719262	sin(pi/2 - x)	cos x
59719263	d/dx (x^n)	nx^n - 1
59719264	d/dx (fg)	fg' + gf'
59719265	d/dx (f/g)	(gf' - fg')/g^2
59719266	d/dx f(g(x))	f'(g(x))g'(x)
59719267	d/dx (sin x)	cos x
59719268	d/dx (cos x)	- sin x
59719269	d/dx (tan x)	sec^2 x
59719270	d/dx (cot x)	- csc^2 x
59719271	d/dx (sec x)	sec x tan x
59719272	d/dx (csc x)	-csc x cot x
59719273	d/dx (e^x)	e^x
59719274	d/dx (a^x)	a^x ln a
59719275	d/dx (ln x)	1/x
59719276	d/dx (Arcsin x)	1/(sqrt(1 - x^2))
59719277	d/dx (Arctan x)	1/(1 + x^2)
59719278	∫ a dx	ax + c
59719279	∫ 1/x dx	ln \| x \| + c
59719280	∫ e^x ds	e^x + c
59719281	∫ a^x dx	a^x/ ln a + c
59719282	∫ ln x dx	x ln x - x + c
59719283	∫ sin x dx	-cos x + c
59719284	∫ cos x dx	sin x + c
59719285	∫ tan x dx (1)	ln \|sec x\| + c
59719286	∫ tan x dx (2)	-ln \|cos x\| + c
59719287	∫ cot x dx	ln \|sin x\| + c
59719288	∫ sec x dx	ln \|sec x + tan x\| + c
59719289	∫ csc x dx	-ln \|csc x + cot x\| + c
59719290	∫ sec^2 x dx	tan x + c
59719291	∫ sec x tan x dx	sec x + c
59719292	∫ csc^2 x dx	- cot x + c
59719293	∫ csc x cot x dx	- csc x + c
59719294	∫ tan^2 x dx	tan 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