document.write( "Question 1031666: Please help me with this problem:
\n" ); document.write( " determine the are between the graph of y = $\"xe%5E%28-x%5E2%29\"$ and the x axis over the interval [0,1]. (the function is nonnegative over this interval.) \n" ); document.write( "

Algebra.Com's Answer #646347 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Integrate,
\n" ); document.write( " $\"A=int%28%28xe%5E%28-x%5E2%29%29%2Cdx%2C0%2C1%29\"$
\n" ); document.write( "Substitute,
\n" ); document.write( " $\"u=e%5E%28-x%5E2%29\"$
\n" ); document.write( " $\"du=e%5E%28-x%5E2%29%2A%28-2xdx%29\"$
\n" ); document.write( " $\"xe%5E%28-x%5E2%29dx=-du%2F2\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"A=int%28%28-1%2F2%29%2Cdu%2C0%2C1%29\"$
\n" ); document.write( " $\"A=-u%2BC%29\"$
\n" ); document.write( " $\"A=-e%5E%28-x%5E2%29%2F2%2BC\"$
\n" ); document.write( " $\"A=%28e%5E%280%29-e%5E%28-1%29%29%2F2\"$
\n" ); document.write( " $\"A=1-1%2F%282e%29\"$
\n" ); document.write( " $\"highlight%28A=%28e-1%29%2F%282e%29%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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