antiderivatives denition 1 antiderivative if f x f x we call f an antideriv ative of f denition 2 indenite integral if f is an antiderivative of f then r ...
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...Antiderivatives denition antiderivative if f x we call an antideriv ative of indenite integral is then r dx c called the general where arbitrary constant theindenite a function represents every possible since it has been shown that two functions have same de rivative on interval they dier by terminology when write referred to as in tegrand basic integration formulas with dierentiation there are types for integrals specic and structural type each formulaforthederivativeofaspecicfunctioncorrespondstoaformula derivative elementary following table lists side corresponding z xndx xn n d nxn sinxdx cosx sinx cosxdx sec xdx tanx secx e lnx kdx kx k wemayintegrate term kf kr g plain language times equals sum or dierence equal derivatives these come straight from cal culating used way integrating individual terms whencalculating one needs recog nize whether product quotient composite little bit more art at least not essentially reverse so might expect reversing eects rule chain this almost case...