Page 126 - Calculus Demystified
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The Integral
                     CHAPTER 4


















                                                    Fig. 4.13                                    113


                     x = a and x = b in Fig. 4.14. That area is

                                              b              b
                                               g(x) dx =−     f(x) dx.
                                             a              a























                                                    Fig. 4.14

                     In total, the aggregate shaded area exhibited in Fig. 4.15, over the entire interval
                     [a, c],is

                                                b            c
                                           −     f(x) dx +    f(x) dx.
                                               a            b
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