document.write( "Question 972760: I need to find the area between y = −x^2−x+30 and the x-axis\r
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Algebra.Com's Answer #595030 by rothauserc(4718)\"\" \"About 
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y = −x^2 −x +30
\n" ); document.write( "find the two zeros of this function
\n" ); document.write( "−x^2 −x +30 = 0
\n" ); document.write( "multiply both sides of equation by -1
\n" ); document.write( "x^2 +x -30 = 0
\n" ); document.write( "(x+6)*(x-5) = 0
\n" ); document.write( "x = -6 and 5
\n" ); document.write( "now integrate the formula and evaluate the result for x = 5 and -6
\n" ); document.write( "let Z stand for integration, then
\n" ); document.write( "Z −x^2 −x +30 = -x^3/3 -x^2/2 +30x
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\n" ); document.write( "evaluate for x = 5
\n" ); document.write( "-5^3/3 -5^2/2 +30*5 = -125/3 -25/2 +150 = 95.833333333
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\n" ); document.write( "evaluate for x = -6
\n" ); document.write( "-6^3/3 -6^2/2 +30*(-6) = -(-216)/3 -36/2 -180 = −126
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\n" ); document.write( "Area = 95.833333333 - (-126) = 221.833333333 approx 221.83
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