Matlab/Octave Tutorial

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Definite integralsSuppose we wantThe syntax is:gdxwith g defined as before.>> int_def_g=int(g,x,-pi,pi)int_def_g =-(c*cos(pi*c)+a*sin(pi*c)exp(pi*a)^2*c*cos(pi*c)+exp(pi*a)^2*a*sin(pi*c))/exp(pi*a)/(a^2+c^2)Now determine the numerical value of int_def_g fora=2 and c=4.138
• >> subs(int_def_g,{a,c},{2,4})ans =107.0980•Sometimes MATLAB is unable to find an analyticalsolution for a definite integral, e.g.:>> int(exp(sin(x)),x,0,1)•In such cases, the numerical procedure quad may beused, e.g.:>> quad('exp(sin(x))',0,1)•quad is not part of the symbolic toolbox139
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Outline• Basics of Matlab (slides
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MATLAB 程式設計入門篇
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Page 125 and 126: The following slides are fromProf.
Page 127 and 128: Some contents of MATLAB's symbolic
Page 129 and 130: DifferentiationSee >>help sym/diffd
Page 131 and 132: Multiple differentiationTo find dif
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Page 135 and 136: •If you want diff_f to retain its
Page 137: clear, syms a c x g A>> g = exp(-a*
Page 141 and 142: 642tan(x)0-2-4-6-6 -4 -2 0 2 4 6xWh
Page 143 and 144: Review Questions•What command do
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Matlab/Octave Tutorial

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