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# Integrate lesson
User beware. If you want to use Integrate, DSolve, Solve, etc. on
complicated expressions
you should ensure the expressions are simplified. Consider the
contrived case of Integrate below. Integrate makes no progress if the
expression isn't simplified. However, (expr) can be simplified to
(Sqrt[2] x) so the integral is just ( x^2/Sqrt[2] ).
First I selected:
- Cell
- Default Output Format Type
- InputForm
__________________________
In[1]:=
expr=Sqrt[2] x - (Sqrt[2]+Sqrt[3])x^x+Sqrt[5+2Sqrt[6]]x^x;
In[2]:=
Integrate[expr,x]
Out[2]=
Integrate[Sqrt[2] x - (Sqrt[2] + Sqrt[3])*x^x +
Sqrt[5 + 2*Sqrt[6]]*x^x, x]
In[3]:=
FullSimplify[expr]
Out[3]=
Sqrt[2] x
Ted Ersek
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