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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 221secu

Hooke s Law forsprings Work force dx F x dx kx dx ... Knowing which function to call u and which to call dv takes some practice. Here is a general guide: u I ... 1. If the power of the sine is odd and positive: Goal ...

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