Improper Integral

  • Thread starter johnson12
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  • #1
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Hello and Happy New year, I'm having some trouble computing this integral:

limn->00[tex]\int^{1}_{0}[/tex][tex]\sqrt[3]{1+x^{n}sin(nx)}[/tex]

Any suggestions are appreciated.
 

Answers and Replies

  • #2
Dick
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It sure looks like the limit ought to be one, doesn't it? Try to write down some inequalities sandwiching that integral between two integrals whose limit you know is one. Start by using -1<=sin(nx)<=1.
 

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