document.write( "Question 909983: compute the area between y=|x| and y=x^2-6 \n" ); document.write( "

Algebra.Com's Answer #554000 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "First make sure that all possible vertical line segments drawn from\r\n" );
document.write( "the upper boundary of area to lower boundary are such that they all\r\n" );
document.write( "begin on one curve and end on the other.  If so, then\r\n" );
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document.write( "Area between two curves = \r\n" );
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document.write( "We draw the graph of the two curves:\r\n" );
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document.write( "y=|x| is really this piece-wise function:\r\n" );
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document.write( "We find the point of intersection:\r\n" );
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document.write( "x-3=-0   x+2=0\r\n" );
document.write( "  x=3      \r\n" );
document.write( "y=x       (not pertinent)\r\n" );
document.write( "y=3\r\n" );
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document.write( "The point of intersection is (3,3)\r\n" );
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document.write( "By symmetry we can find the area of the right half\r\n" );
document.write( "from x=0 to x=3 and then double it.\r\n" );
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document.write( "Edwin

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