Transcription of Integral Calculus Formula Sheet
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Integral Calculus Formula Sheet
Integral Calculus Formula Sheet Derivative Rules: 0dcdx 1nndxnxdx sincosdxxdx secsec tandxxxdx 2tansecdxxdx cossindxxdx csccsc cotdxxxdx 2cotcscdxxdx lnxxdaaadx xxdeedx ddcf xcf xdxdx dddf x gxf xgxdxdxdx fg f g fg 2fg fgfgg dfgxf gx gxdx Properties of Integrals: ()()kf u du k f u du () ()()()fu gu duf udugudu ()0aafxdx ()()baabfxdxf xdx ()()()cbcaabfxdxf xdxf xdx 1()baveaffxdxba 0()2 ()aaafxdxf xdx if f(x) is even ()0aafxdx if f(x) is odd ()()( ()) ()()fbbafagfx f xdxgudu udv uvvdu Integration Rules: du u C 11nnuuduCn lnduuCu uuedu e C 1lnuuadua Ca sincosuduu C cossinuduu C 2sectanuduu C 2csccotuuC csc cotcscuuduuC sec tansecuudu uC 221arctanduuCau aa 22arcsinduuCaau 221secuduarcCaauu a Fundamental Theorem of Calculus : ' xadFxftdtfxdx where ft is a continuous function on [a, x].
Integral Calculus Formula Sheet Derivative Rules: 0 d c dx nn 1 d xnx dx sin cos d x x dx sec sec tan d x xx dx tan sec2 d x x dx cos sin d x x dx csc csc cot d x xx dx cot csc2 d x x dx d aaaxxln dx d eex x dx dd cf x c f x dx dx
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