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Today's calculation of Integral 845

Source: 2012 Iwate University entrance exam/Education

September 12, 2012
calculusintegrationcalculus computations

Problem Statement

Consider for a real number t>1t>1, I(t)=∫−44t−4(x−4)x+4 dx.I(t)=\int_{-4}^{4t-4} (x-4)\sqrt{x+4}\ dx.
Find the minimum value of I(t) (t>1).I(t)\ (t>1).
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