Definite Integral – Split function on finite interval – Exercise 6448

Exercise

Given

f(x) = \begin{cases}4x^2, &\quad 1\leq x\leq 2\\ 3x, &\quad 2<x<3\\ 0, &\quad x\geq 3, x<1\\ \end{cases}

Evaluate the integral

\int_{-3}^5 xf(x) dx

Final Answer

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Solution

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