Evaluate f(x) = cx, 0<x<1 ,f(x) = 0, otherwise find'c'if ∫f(x)dx = 2, x∈[0, 1]

Question

Evaluate \( f(x) = \begin{cases} cx, 0<x<1 \\ 0, otherwise\end{cases} \)  find'c'if\(\int\limits_{0}^{1}\)f(x)dx = 2

Answer 1

 Given, \(\int\limits_{0}^{1}\)f(x)dx = 2