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Calculus derivative integration formulas with explaination

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Integral Calculus Formula Sheet Derivative Rules: d c   0 dx d  x n   nx n 1 dx d  sin x   cos x dx d  sec x   sec x tan x dx d  tan x   sec2 x dx d  cos x    sin x dx d  csc x    csc x cot x dx d  cot x    csc 2 x dx d x a   a x ln a  dx d x e   ex dx d d cf  x    c f  x   dx dx d d d f  x   g  x    f  x     g  x   dx dx dx f  g   f   g  f  g  f  g   fg   f g   g2  d f g x   f  g x  g  x  dx      Properties of Integrals:  kf (u )du  k  f (u )du   f (u )  g (u )du   f (u )du   g (u )du a b  f ( x)dx  0  f ( x)dx    f ( x)dx a c a b a a  b f ave  b a 1 f ( x) dx b  a a a  f ( x)dx  2 f ( x) dx if f(x) is even a b c  f ( x)dx   f ( x)dx   f ( x)dx a a  f ( x) dx  0 if f(x) is odd a 0 b f (b ) a f (a)  g ( f ( x)) f ( x)dx    udv  uv   ...
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