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.The integration expression is .
Write the quadratic expression in the complete square form.
\= 2+3x-2x2.
\= -2x2+3x+2.
\= -2(x2-3x/2)+2.
\= -2(x2-3x/2+9/16-9/16)+2.
\= -2(x - 3/4)2 + 9/8 + 2.
\= -2(x - 3/4)2 + 25/8.
\= 2[25/16 - (3/4 - x)2].
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The integration expression is ![\"image\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=afcfa80526df30fe1a86da7abdd7a438.png\")
.
Let (x - 1/2) = u then dx = du.
\Simplify the expression.
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