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Student Support Forum: 'Strange (complex) solution to simple integration' topicStudent Support Forum > General > "Strange (complex) solution to simple integration"

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Damjan Bole
08/14/00 10:24pm

Hi!

I have problems solving integral with this function in Mathematica:

(Sin[x])^5
---------------
(Cos[x])^(11/4)

Mathematica format:
\!\(\[Integral]\(Sin[x]\^5\/\@\(Cos[x]\^11\)\%4\) \[DifferentialD]x\)



Mathematica produces a complex solution using Hypergeometric function which is not what I want.

With Derive and manual integration (cos(x)=t) I get this(in Mathematica format):

\!\(4\/\(7\ Cos[t]\^\(7/4\)\) +
8 Cos[\ t]\^\(1/4\) - \(4\ Cos[t]\^\(9/4\)\)\/9\)


Why do I get complex solution instead of this much simpler result? Do I have to specify correct domain?

Damjan

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