Assumptions
Usage Message: Assumptions is an option for Integrate and other functions that specifies what assumptions be made
about relations between parameters. Attributes[Assumptions] = {Protected} Related
Symbols: Integrate
, GenerateConditions
Notes: Assumptions is an option for Integrate that allows you to specify assumptions about the parameters in a definite integral.
In[1]:= Integrate[Exp[-c x], {x, 0, Infinity}]
1 -(c x)
Out[1]= If[Re[c] > 0, -, Integrate[E , {x, 0, Infinity}]]
c
In[2]:= Integrate[Exp[-c x], {x, 0, Infinity}, Assumptions -> {c > 0}]
1
Out[2]= -
c
In[3]:= Integrate[Exp[-c x], {x, 0, Infinity}, Assumptions -> {c < 0}]
-(c x)
Integrate::idiv: Integral of E does not converge on {0, Infinity}.
-(c x)
Out[3]= Integrate[E , {x, 0, Infinity}, Assumptions -> {c < 0}]
The value of the Assumptions option is expected to be an inequality, a list of one or more inequalities, or a set of inequalities combined using And.
Additional Online Documentation:
Mathematica 3.0
http://documents.wolfram.com/v3/RefGuide/Assumptions.html
Mathematica 4.0
http://documents.wolfram.com/v4/RefGuide/Assumptions.html
Questions or comments? Send email to support@wolfram.com.
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