Seja f open parentheses x close parentheses greater or equal than 0 uma função contínua. Com respeito à integral L equals integral subscript 0 superscript 1 f left parenthesis x right parenthesis d x é correto afirmar que:
a.
L corresponde ao valor da área da região delimitada pela curvas: left curly bracket left parenthesis x comma f left parenthesis x right parenthesis right parenthesis colon x element of left square bracket 0 comma 1 right square bracket right curly bracket, space left curly bracket left parenthesis x comma 0 right parenthesis colon x element of straight real numbers right curly bracket comma left curly bracket left parenthesis 0 comma y right parenthesis colon y element of straight real numbers right curly bracket text e end text left curly bracket left parenthesis 1 comma y right parenthesis colon y element of straight real numbers right curly bracket
b.
L spacecorresponde ao valor do comprimento da curva left curly bracket left parenthesis x comma f left parenthesis x right parenthesis right parenthesis colon x element of left square bracket 0 comma 1 right square bracket right curly bracket
c.
L spacecorresponde ao valor da área da região delimitada pela curvas: left curly bracket left parenthesis x comma f left parenthesis x right parenthesis right parenthesis colon x element of left square bracket 0 comma 1 right square bracket right curly bracket, space left curly bracket left parenthesis x comma negative f left parenthesis x right parenthesis right parenthesis colon x element of left square bracket 0 comma 1 right square bracket right curly bracket comma left curly bracket left parenthesis 0 comma y right parenthesis colon y element of straight real numbers right curly bracket text e end text left curly bracket left parenthesis 1 comma y right parenthesis colon y element of straight real numbers right curly bracket.
d.
Nenhuma das demais alternativas está correta.
e.
L corresponde ao valor da diferença dos limites lim for x not stretchy rightwards arrow 1 of f left parenthesis x right parenthesis minus lim for x not stretchy rightwards arrow 0 of f left parenthesis x right parenthesis.
RESPOSTA A
a.
L corresponde ao valor da área da região delimitada pela curvas: left curly bracket left parenthesis x comma f left parenthesis x right parenthesis right parenthesis colon x element of left square bracket 0 comma 1 right square bracket right curly bracket, space left curly bracket left parenthesis x comma 0 right parenthesis colon x element of straight real numbers right curly bracket comma left curly bracket left parenthesis 0 comma y right parenthesis colon y element of straight real numbers right curly bracket text e end text left curly bracket left parenthesis 1 comma y right parenthesis colon y element of straight real numbers right curly bracket
b.
L spacecorresponde ao valor do comprimento da curva left curly bracket left parenthesis x comma f left parenthesis x right parenthesis right parenthesis colon x element of left square bracket 0 comma 1 right square bracket right curly bracket
c.
L spacecorresponde ao valor da área da região delimitada pela curvas: left curly bracket left parenthesis x comma f left parenthesis x right parenthesis right parenthesis colon x element of left square bracket 0 comma 1 right square bracket right curly bracket, space left curly bracket left parenthesis x comma negative f left parenthesis x right parenthesis right parenthesis colon x element of left square bracket 0 comma 1 right square bracket right curly bracket comma left curly bracket left parenthesis 0 comma y right parenthesis colon y element of straight real numbers right curly bracket text e end text left curly bracket left parenthesis 1 comma y right parenthesis colon y element of straight real numbers right curly bracket.
d.
Nenhuma das demais alternativas está correta.
e.
L corresponde ao valor da diferença dos limites lim for x not stretchy rightwards arrow 1 of f left parenthesis x right parenthesis minus lim for x not stretchy rightwards arrow 0 of f left parenthesis x right parenthesis.
RESPOSTA A
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