Basic Integration Rules
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Basic Integration Rules Differentiation Formula Integration Formula d dx [ C ]=0 ∫ 0 dx =C d dx [ kx ]=k ∫ kdx=kx +C d dx [ kf ( x) ] =kf ' ( x) ∫ kf ( x ) dx=k ∫ f ( x ) dx d dx [ f ( x ) ±g ( x) ] =f ' ( x ) ±g ' ( x ) ∫ [ f ( x ) ±g ( x ) ] dx= ∫ f ( x ) dx ± ∫ g ( x ) dx d dx x n =nx x−1 ∫ ( x ¿¿ n) dx =¿ x n+ 1 n +1 +C,n≠−1 ¿¿ d dx [ sinx ]=cosx ∫ ( cosx) dx =sinx +C d dx [ cosx ]=−sinx ∫ ( sinx) dx =−cosx +C d dx [ tanx ]=sec 2 x ∫ ( sec¿¿ 2 x) dx=tanx+C ¿ d dx [ secx ]=secxtanx ∫ ( secxtanx) dx=secx + C d dx [ cotx ]=−csc 2 x ∫ ( csc¿¿ 2 x) dx=−cotx+ C ¿ d dx [ cscx ]=−cscxcotx ∫ ( cscxcotx) dx=−cscx +C d dx [ lnx ]= 1 x ,x >0 ∫ 1 x dx=ln| x| +C
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This is for AP Calculus and would become very helpful when you need to have a reference for the different derivatives and integrals.
Transcript of Basic Integration Rules
Basic Integration RulesDifferentiation Formula Integration Formula Integrals of the Six Basic Trigonometric Functions
