Question

What is f(x)=∫(x+3)2−2xdx if f(1)=0?

Answer 1

$f(x) = 2( \frac{ {x}^{2} }{2} + 3x - \frac{ {x}^{2} }{2} ) + c \\ f(x) = 6x \: + c \\ put \: x = 1 \\ c = - 6 \\ \\ f(x) = 6x + ( - 6)$

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