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Let f(x) = int(0)^(x)(t-1)(t-2)^(2) dt, ...

Let `f(x) = int_(0)^(x)(t-1)(t-2)^(2) dt`, then find a point of minimum.

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`f(x) = underset(0)overset(x)int(t-1)(t-2)^(2)dt`
`f'(x) = (x-1)(x-2)^(2)`

`rArr = 1` is the point of minimum
`f(1) = underset(0)overset(1)int(t^(3)-5t^(2)+8t-4)dt=1/4-5/3+4-4 = - 17/12`. Hence `(1,-(17)/(12))` is a point of minimum.
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RESONANCE ENGLISH-DEFINITE INTEGRATION & ITS APPLICATION -High Level Problem
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