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...Differentiation formulas f x g kf d n dx nx ex ax axlna a lnx sinx cosx tanx cos arcsinx arctanx ashorttableofindeniteintegrals i basic functions z c sinxdx ln cosxdx axdx tanxdx lna lnxdx xlnx ii products of e and eaxsin bx eax b eaxcos sin iii product polynomial p with ap signs alternate sinaxdx cosax cosaxdx sinax in pairs after rst term signsalternateinpairs iv integer powers xdx xcosx npositive cosnxdx xsinx m mpositive sinmx sinm sinmxcosnxdx if is odd let w both are even positive convert all to or using use one them negative whichever function the denominator substitute which converts integrand rational that can be integrated by method partial fractions v quadratic arctan cx vi integrands involving arcsin...