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# Calc Memory

### Thing to remember from Calculus

d/dx(sin x) cos x
d/dx(cos x) -sin x
d/dx(tan x) sec² x
d/dx(sec x) sec x tan x
d/dx(cot x) -csc² x
d/dx(csc x) -csc x cot x
surface area of cylinder 2πr(h+r)
volume of cylinder π(r²)h
surface area of sphere 4πr²
volume of sphere (4/3)πr^3
volume of cone (1/3)π(r²)h
law of sines (sin A)/a = (sin B)/b = (sin C)/c
law of cosines a²=b²+c²-2ab(cos A)
∫ sin(u) du -cos(u) + C
∫ cos(u) du sin(u) + C
∫ tan(u) du -ln|cos(u)| + C
∫ cot(u) du ln|sin(u)| + C
∫ sec(u) du ln|sec(u) + tan(u)| + C
∫ (sec(u)*tan(u)) du sec(u) + C
∫ csc(u)² du -cot(u) + C
∫ (-csc(u)*cot(u)) du csc(u) + C
d/dx(sinˉ¹ u) u'/√(1-u²)
dy/dx (tan‾¹ u) u'/(1+u²)
dy/dx (sec‾¹ u) u'/(x√(x²-1))
Created by: flyingtoretilas