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Definite Integral – Split function on finite interval – Exercise 6444

Exercise

Given

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

Evaluate the integral

\int_{-1}^4 f(x) dx

Final Answer


\int_{-1}^4 f(x) dx=-1

Solution

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