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Question: Integration not giving simplified results.

Question:Integration not giving simplified results.

pandeyd071 5 Maple
integration
July 21 2020
1

I am not able to get the proper integration results

Question_integration_eqn18.mw
 

> 

Dm(A, p, i(t)) := A^gamma*(a-b*p+c*i(t))

A^gamma*(a-b*p+c*i(t))

 (1)
> 

NULL
> 

NULL
> 

Lsc := cl*(int(Dm(A, p, i(t))*(1-1/(1+delta(T-t))), t = t2 .. T))

cl*(int(A^gamma*(a-b*p+c*i(t))*(1-1/(1+delta(T-t))), t = t2 .. T))

 (2)
> 

simplify(Lsc)

cl*A^gamma*(int((a-b*p+c*i(t))*delta(T-t)/(1+delta(T-t)), t = t2 .. T))

 (3)
> 

``
> 

subs(i(t) = (A^gamma*(-b*p+a)*ln(1+delta*(T-t))-R*delta)/delta, Lsc)

cl*(int(A^gamma*(a-b*p+c*(A^gamma*(-b*p+a)*ln(1+delta*(T-t))-R*delta)/delta)*(1-1/(1+delta(T-t))), t = t2 .. T))

 (4)
> 

simplify(%)

cl*(int(-(-A^(2*gamma)*c*(-b*p+a)*ln(1+delta*(T-t))+A^gamma*delta*(R*c+b*p-a))*delta(T-t)/(1+delta(T-t)), t = t2 .. T))/delta

 (5)

``

``


 

Download Question_integration_eqn18.mw

 
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