Problem

Problem

The points for which the function f(x)=∫1x{2(t−1)(t−2)3+3(t−1)2(t−2)2}dtf(x) = \int_{1}^{x} \{2(t-1)(t-2)^3 + 3(t-1)^2(t-2)^2\} dt attains maxima and minima, is a. maximum when x=75x = \frac{7}{5} and minimum when x=1x = 1 b. maximum when x=1x = 1 and minimum when x=0x = 0 c. maximum when x=1x = 1 and minimum when x=2x = 2 d. maximum when x=1x = 1 and minimum when x=75x = \frac{7}{5}

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