• Home
  • About Us
  • Contact Us
  • Privacy Policy
  • Special Offers
Business Intelligence Info
  • Business Intelligence
    • BI News and Info
    • Big Data
    • Mobile and Cloud
    • Self-Service BI
  • CRM
    • CRM News and Info
    • InfusionSoft
    • Microsoft Dynamics CRM
    • NetSuite
    • OnContact
    • Salesforce
    • Workbooks
  • Data Mining
    • Pentaho
    • Sisense
    • Tableau
    • TIBCO Spotfire
  • Data Warehousing
    • DWH News and Info
    • IBM DB2
    • Microsoft SQL Server
    • Oracle
    • Teradata
  • Predictive Analytics
    • FICO
    • KNIME
    • Mathematica
    • Matlab
    • Minitab
    • RapidMiner
    • Revolution
    • SAP
    • SAS/SPSS
  • Humor

Why can this integral not be found symbolically

August 28, 2018   BI News and Info
 Why can this integral not be found symbolically

I am trying to evaluate the integral below however when the parameter \alpha is selected to a positive real number other than zero no solution is found. In fact either the output is the integral itself or the local kernel stops evaluating (ie you hear a “beep”). I attach the code. Any suggestion would be helpful.

ao := 0.1;
a1 := 0;
(*a2=0.03*)(*For compatible strain a2=b1*)
bo := 0.1;
b1 := 0;
b2 := 0;
co := ao + I*bo;
c1 := 1/4 (a1 - b2 + 2 I*b1);
c2 := 1/2 (a1 + b2);
(*Inclusion and Matrix properties*)
μ1 = 1;
μ2 = .25 μ1;
R = 1;
yo = -2 R;
d[t_] := R^2/(t - I*yo) - I*yo;

p[t_] := -I*yo;
h[t_] := -yo^2;
dover[t_] := R^2/(t + I*yo) + I*yo;
pover[t_] := I*yo;
hover[t_] := -yo^2;
L[t_] := D[(dover[t] - pover[t]), t];
L1[t_] := dover[t] - pover[t];
L2[t_] := 2*dover[t]*(D[dover[t], t]) - D[hover[t], t];
L3[z_] := (dover[z]*dover[z]) - hover[z];
M[t_] := (co\[Conjugate]*t + co*p[t] + c2*t*p[t] + 
    c1\[Conjugate]*t^2 + c1*h[t]);
Γ[t_] := -μ1*(D[M[t], t]);
N1[t_] := (co\[Conjugate]*L[t] + c2*L1[t] + c2*t*L[t] + 
    c1\[Conjugate]*L2[t]);
Q[t_] := (co\[Conjugate]*L1[t] + c2*t*L1[t] + c1\[Conjugate]*L3[t]);
Gprime[t_, α_] := μ1*(D[N1[t], t]) - I*((1/μ2) - (1/μ1))*μ1*α*(D[Q[t], t]);
lambdaprime[z_, α_] = Γ[z] + Integrate[Gprime[t, α]*
     e^(-I*((1/μ2) + (1/μ1))*α*t), {t, -I*Infinity, z},
     Assumptions -> Element[α, Reals] && α >= 0]*(e^(I*((1/μ2) + (1/μ1))*α*z))

Let’s block ads! (Why?)

Recent Questions – Mathematica Stack Exchange

Found, integral, symbolically, This
  • Recent Posts

    • Derivative of a norm
    • TODAY’S OPEN THREAD
    • IBM releases Qiskit modules that use quantum computers to improve machine learning
    • Transitioning to Hybrid Commerce
    • Bad Excuses
  • Categories

  • Archives

    • April 2021
    • March 2021
    • February 2021
    • January 2021
    • December 2020
    • November 2020
    • October 2020
    • September 2020
    • August 2020
    • July 2020
    • June 2020
    • May 2020
    • April 2020
    • March 2020
    • February 2020
    • January 2020
    • December 2019
    • November 2019
    • October 2019
    • September 2019
    • August 2019
    • July 2019
    • June 2019
    • May 2019
    • April 2019
    • March 2019
    • February 2019
    • January 2019
    • December 2018
    • November 2018
    • October 2018
    • September 2018
    • August 2018
    • July 2018
    • June 2018
    • May 2018
    • April 2018
    • March 2018
    • February 2018
    • January 2018
    • December 2017
    • November 2017
    • October 2017
    • September 2017
    • August 2017
    • July 2017
    • June 2017
    • May 2017
    • April 2017
    • March 2017
    • February 2017
    • January 2017
    • December 2016
    • November 2016
    • October 2016
    • September 2016
    • August 2016
    • July 2016
    • June 2016
    • May 2016
    • April 2016
    • March 2016
    • February 2016
    • January 2016
    • December 2015
    • November 2015
    • October 2015
    • September 2015
    • August 2015
    • July 2015
    • June 2015
    • May 2015
    • April 2015
    • March 2015
    • February 2015
    • January 2015
    • December 2014
    • November 2014
© 2021 Business Intelligence Info
Power BI Training | G Com Solutions Limited