New answers tagged assumptions
3
As i know, there should be a command which is Assuming as follows,
Assuming[a > 0, Integrate[1/(x^2+a^2) ,{x,0,1}]]
1
In[77]:= $Version
Out[77]= "9.0 for Microsoft Windows (64-bit) (January 25, 2013)"
In[73]:= Timing[All = Integrate[Abs[Sin[b + x]], {x, 0, 2*\[Pi]}]]
Out[73]= {81.073720, 4}
In[75]:= Timing[
FullSimplify@
Integrate[Abs@Sin[b + x], {x, 0, 2 Pi},
Assumptions -> {0 < b < 2 Pi}]]
(*4*)
Out[75]= {1.404009, 4}
1
FullSimplify@ Integrate[Abs@Sin[b + x] , {x, 0, 2 Pi}, Assumptions -> {0 < b < 2 Pi}]
(*
4
*)
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