MATA36H3 Lecture Notes - Lecture 3: Inverse Trigonometric Functions, Fetus
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2 pieces : u . du f fex ) fu . du. Note : after you choose u , du must be the nest of fix ) that is multiplied to. Calculate derivative of u . integral of du n" ex) du lick dx. * tderivaive derivative anti . we have 4 cancel things . du v - 4 . instead of computing fu . du compute f du - v ex . fxcosx de can be omitted. When to use integration by parts when fix ) is of the form xnsiux , I du - six power reduce when reduces by. X to x t after step 5 fix ) has a. Set u to be these letters u are cosy du. Aside : f arceanx farctanx = arc tank. I u y du = siuczx ) z . du. Fsihx cosy good guess if ahead = 2 - dx dw a- z dzufsihcox dx= dx fsihcw) zdw.