>Being good at mathsSolution: Notice that the denominator of the integrand has no real Ms. clauss. The discriminant,
b2-4ac=1-4(1)(1)<0,
so we can't factor it to solve by decomposition of the rational function. We'll have to try something else.
Instead, we can complete the square on the denominator. First set it equal to zero, then complete the square, then re-gather all of the terms of the function back on the left side. It looks like this:
x2-x+1x2-xx2-x+(12)2(x-12)2+34=0=-1=-34=f(x)
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