integration equation sheet - STRATEGIES for Evaluating INTEGRALS Prof Richard B Goldstein Integral Strategies algebraic simplification trigonometric

integration equation sheet - STRATEGIES for Evaluating...

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STRATEGIES for Evaluating INTEGRALS- Prof. Richard B. Goldstein IntegralStrategiessimplified formxxxdx21++algebraic simplification xxxdx++1 21/sin()cos()43xxdxtrigonometric identity []124343sin()sin()++xx dx253xxdx+algebraic simplification substitution 2113+xdx, then let u = x -3 xx22sin()dxintegration by parts repeat twice let u = x2let dv = sin(2x) dx sinxcos x dx45substitution let u = sin(x), then du = cos(x) dx and cos4x = (1 - u2)224423xxxxdx++partial fractions 141422xxxxdx+++()xxxxdx3236 53+()partial fractions ()()AxBx

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