http://www.mapleprimes.com/questions/141031-Integrating-String-Of-Real-CosSine en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Tue, 09 Jun 2026 09:29:28 GMT Tue, 09 Jun 2026 09:29:28 GMT The latest answers and comments added to the Question, Integrating string of real Cos/Sine terms - getting complex result. http://www.mapleprimes.com/images/mapleprimeswhite.jpg http://www.mapleprimes.com/questions/141031-Integrating-String-Of-Real-CosSine http://www.mapleprimes.com/questions/141031-Integrating-String-Of-Real-CosSine?ref=Feed:MaplePrimes:Integrating string of real Cos/Sine terms - getting complex result.:Comments#answer141082 <p><a href="http://www.mapleprimes.com/questions/141031-Integrating-String-Of-Real-CosSine#comment141058">@argand</a> Since this is an indefinite integral you have to allow for a constant. In this case it is imaginary!</p> <p>int(U, t);<br>evalc(%);<br>combine(%);<br>evalc(%);<br>evalc(Im(%));<br>normal(%);<br>#Thus the imaginary part is constant!</p> <p><a href="http://www.mapleprimes.com/questions/141031-Integrating-String-Of-Real-CosSine#comment141058">@argand</a> Since this is an indefinite integral you have to allow for a constant. In this case it is imaginary!</p> <p>int(U, t);<br>evalc(%);<br>combine(%);<br>evalc(%);<br>evalc(Im(%));<br>normal(%);<br>#Thus the imaginary part is constant!</p> 141082 Tue, 04 Dec 2012 05:03:11 Z Preben Alsholm Preben Alsholm http://www.mapleprimes.com/questions/141031-Integrating-String-Of-Real-CosSine?ref=Feed:MaplePrimes:Integrating string of real Cos/Sine terms - getting complex result.:Comments#comment141083 <p>I wonder whether he could try to code it to solve for the constant of integration such that Im(int(U,t))=0, and then use that in Re(int(U,t)) if it weren't too messy or implicit.</p> <p>Using U from his worksheet</p> <pre>s:=int(U,t): ims:=simplify(combine(evalc(Im(s))),size); 8 (1/2) - -- 7 _C1 21 sims:=solve(ims,indets(ims,name) minus {constants}); {_C1 = 0} simplify(eval(simplify(combine(evalc(Re(s))), size), sims)); /1 \ /3 (1/2) \ / 2\ exp|- t| sin|- 7 t| \65 - 4 t + 8 t / \8 / \8 / - ------------------------------------------ / /3 (1/2) \\ 32 |-1 + cos|- 7 t|| \ \4 // </pre> <p>I suppose that this is a fragile approach.</p> <p>I wonder whether he could try to code it to solve for the constant of integration such that Im(int(U,t))=0, and then use that in Re(int(U,t)) if it weren't too messy or implicit.</p> <p>Using U from his worksheet</p> <pre>s:=int(U,t): ims:=simplify(combine(evalc(Im(s))),size); 8 (1/2) - -- 7 _C1 21 sims:=solve(ims,indets(ims,name) minus {constants}); {_C1 = 0} simplify(eval(simplify(combine(evalc(Re(s))), size), sims)); /1 \ /3 (1/2) \ / 2\ exp|- t| sin|- 7 t| \65 - 4 t + 8 t / \8 / \8 / - ------------------------------------------ / /3 (1/2) \\ 32 |-1 + cos|- 7 t|| \ \4 // </pre> <p>I suppose that this is a fragile approach.</p> 141083 Tue, 04 Dec 2012 06:39:03 Z pagan pagan