Let \(f_1:(0, \infty) \rightarrow R\) and \(f_2:(0, \infty) \rightarrow R\) be defined by \(f_1(.... VIDEO
Let \(f_1:(0, \infty) \rightarrow R\) and \(f_2:(0, \infty) \rightarrow R\) be defined by \(f_1(x)=\int_0^x \prod_{j=1}^{21}(t-j)^j d t, x>0\)and \(f_2(x)=98(x-1)^{50}-600(x-1)^{49}+2450, x>0\), where for any positive integer \(n\) and real numbers \(a_1, a_2, \ldots a_n, \Pi_{i=1}^n a_i\) denotes the product of \(a_1, a_2, \ldots, a_n\). Let \(m_i\) and \(n_i\), respectively, denote the number of points of local minima and the number of points of local maxima of function \(f_i, i=1,2\), in the interval \((0, \infty)\)
The value of \(6 m_2+4 n_2+8 m_2 n_2\) is ________. 📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live
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