document.write( "Question 344597: Please help me solve this equation: $\"+int%28+sqrt%289x%5E2-x%5E4%29%2C+dx%2C+0%2C+3+%29+\"$ \n" ); document.write( "

Algebra.Com's Answer #246593 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"9x%5E2-x%5E4=x%5E2%289-x%5E2%29\"$
\n" ); document.write( " $\"sqrt%289x%5E2-x%5E4%29=sqrt%28x%5E2%289-x%5E2%29%29\"$
\n" ); document.write( " $\"sqrt%289x%5E2-x%5E4%29dx=x%2Asqrt%289-x%5E2%29dx\"$
\n" ); document.write( "Let $\"u=9-x%5E2\"$
\n" ); document.write( " $\"du=-2x%2Adx\"$
\n" ); document.write( " $\"x%2Adx=-du%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%289x%5E2-x%5E4%29dx=sqrt%28u%29%2A%28-du%2F2%29\"$
\n" ); document.write( " $\"+int%28+sqrt%289x%5E2-x%5E4%29%2C+dx+%29=int%28-%281%2F2%29sqrt%28u%29%2Cdu%29+\"$
\n" ); document.write( " $\"+int%28+sqrt%289x%5E2-x%5E4%29%2C+dx+%29=int%28-%281%2F2%29u%5E%281%2F2%29%2Cdu%29+\"$
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\n" ); document.write( " $\"+int%28+sqrt%289x%5E2-x%5E4%29%2C+dx+%29=-%281%2F3%29u%5E%283%2F2%29%2BC+\"$
\n" ); document.write( " $\"+int%28+sqrt%289x%5E2-x%5E4%29%2C+dx+%29=-%281%2F3%29%289-x%5E2%29%5E%283%2F2%29%2BC+\"$
\n" ); document.write( "

\n" ); document.write( " $\"+int%28+sqrt%289x%5E2-x%5E4%29%2C+dx%2C0%2C3+%29=-%281%2F3%29%280-%289%29%5E%283%2F2%29%29+\"$
\n" ); document.write( " $\"+int%28+sqrt%289x%5E2-x%5E4%29%2C+dx%2C0%2C3+%29=-%281%2F3%29%28-27%29+\"$
\n" ); document.write( " $\"+int%28+sqrt%289x%5E2-x%5E4%29%2C+dx%2C0%2C3+%29=highlight%289%29+\"$ \n" ); document.write( "

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