document.write( "Question 412124: find the area under the curve if y=5-x^2 \n" ); document.write( "

Algebra.Com's Answer #289636 by richard1234(7193) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"graph%28200%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+5+-+x%5E2%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "I'm assuming you want to find the area bounded by the curve and the x-axis...if this is the case, it is simply given by the definite integral\r
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\n" ); document.write( "\n" ); document.write( " $\"int%285+-+x%5E2%2C+dx%2C+-sqrt%285%29%2C+sqrt%285%29%29\"$ (note that these are the points where the curve meets the x-axis). By the power rule and the First Fundamental Theorem of Calculus, this is equal to $\"5x+-+x%5E3%2F3\"$ evaluated at $\"sqrt%285%29\"$ , minus that expression evaluated at $\"-sqrt%285%29\"$ (Look up \"First Fundamental Theorem of Calculus\" if you're unsure). \n" ); document.write( "

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