1_Integration Strategy

1_Integration Strategy

1. Basic Substitution Method

   • Trigonometric Function
     • ᶴ sin x dx = - cos x + C
       •    ᶴ sin x dx= - cos x + C ᶴ cos x dx = sin x + C ᶴ sec2 x dx = tan x + C ᶴ sec x tan x = sec x + C ᶴ csc2 x dx = - cot x + C ᶴ csc x cot x dx = - csc x + C   
       • ᶴ cos x dx = sin x + C
         • ᶴ sec^2 x dx = tan x + C
           • ᶴ sec x tan x = sec x + C
             • ᶴ csc^2 x dx = - cot x + C
               • ᶴ csc x cot x dx = - csc x + C
     • Trigonometric Identities
       • cos^2 Ө + sin^2 Ө = 1
         • 1 + tan2 Ө = sec2 Ө
           • 1 + cot2 Ө = csc2 Ө
     • Addition Formula
       • cos (A + B) = cos A cos B – sin A cos B
       • sin (A + B) = sin A cos B + cos A sin B
     • Double Angle Formula
       • cos 2Ө = cos^2 Ө - sin^2 Ө
         • sin 2Ө = 2 sin Ө cos Ө
   • Natural Logarithm