[Maxima-bugs] [ maxima-Bugs-3315476 ] definite integration

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Bugs item #3315476, was opened at 2011-06-12 19:21
Message generated for change (Comment added) made by aleksasd
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Category: None
Group: None
Status: Open
Resolution: None
Priority: 5
Private: No
Submitted By: d-stanislav (ssllvv)
Assigned to: Nobody/Anonymous (nobody)
Summary: definite integration

Initial Comment:
maxima24.0
(%i1) integrate(2^(-x),x,0,1)
(%o1) integrate(2^(-x),x,0,1)
i.e. integral is not calculate

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Comment By: Aleksas (aleksasd)
Date: 2011-06-14 15:17

Message:
 1 method:
(%i1) integrate(2^(-x),x,0,1);
(%o1) integrate(1/2^x,x,0,1)
(%i2) changevar(%, log(y)/log(2)=x, y, x);
(%o2) integrate(1/y^2,y,1,2)/log(2)
(%i3) ev(%, nouns);
(%o3) 1/(2*log(2))

 2 method:
(%i4) risch(1/2^x, x);
(%o4) -%e^(-log(2)*x)/log(2)
(%i5) ev(%,x=1)-ev(%,x=0);
(%o5) 1/(2*log(2))
(%i6) float(%);
(%o6) 0.72134752044448

 3 method:
(%i7) quad_qags(1/2^x, x, 0, 1);
(%o7) [0.72134752044448,8.008566259537295*10^-15,21,0]

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