document.write( "Question 1167701: Let vector space P2 have an inner product defined as
\n" ); document.write( "⟨p, q⟩ = ∫[-1 to 1] p(x)q(x) dx
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Algebra.Com's Answer #792336 by ikleyn(52781)\"\" \"About 
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document.write( "Then d(1,x)  is the inner product  \r\n" );
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document.write( "    (1-x,1-x) = integral from -1 to 1 of (1-x)^2 dx,\r\n" );
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document.write( "which is the same as the integral from -1 to 1 of (x-1)^2 dx.\r\n" );
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document.write( "Antiderivative is  \"%281%2F3%29%2A%28x-1%29%5E3\",  and from it, you easily get the answer\r\n" );
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document.write( "    \"%281%2F3%29%2A0%5E3+-+%281%2F3%29%2A%28-2%29%5E3\" = \"8%2F3\".\r\n" );
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