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mws_civ_int_txt_trapcontinous_examples

# mws_civ_int_txt_trapcontinous_examples - Chapter 07.02...

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07.02.1 Chapter 07.02 Trapezoidal Rule for Integration-More Examples Civil Engineering Example 1 The concentration of benzene at a critical location is given by 758 . 5 6560 . 0 75 . 1 73 . 32 erfc e erfc c where   dz e x erfc x z 2 So in the above formula dz e erfc z 6560 . 0 2 6560 . 0 Since 2 z e decays rapidly as z , we will approximate 6560 . 0 5 2 6560 . 0 dz e erfc z a) Use single segment Trapezoidal rule to find the value of 6560 . 0 erfc . b) Find the true error, t E , for part (a). c) Find the absolute relative true error for part (a). Solution a)     2 b f a f a b I , where 5 a 6560 . 0 b   2 z e z f   2 5 5 e f 11 10 3888 . 1 2 6560 . 0 6560 . 0 e f 65029 . 0 2 65029 . 0 10 3888 . 1 5 6560 . 0 11 I 4124 . 1

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07.02.2 Chapter 07.02 b) The exact value of the above integral cannot be found. We assume the value obtained by
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