Qual a resposta correta de acordo com a imagem em anexo?

Considere a função f left parenthesis x right parenthesis equals sin invisible function application open parentheses x to the power of negative 1 end exponent close parentheses minus x to the power of negative 1 end exponent cos invisible function application open parentheses x to the power of negative 1 end exponent close parentheses. Com relação a integral imprópria integral subscript 0 superscript straight infinity f left parenthesis x right parenthesis d x, é correto afirmar que:

a.
integral subscript 0 superscript straight infinity f left parenthesis x right parenthesis d x equals 1 over pi

b.
integral subscript 0 superscript straight infinity f left parenthesis x right parenthesis d x equals 0

c.
integral subscript 0 superscript straight infinity f left parenthesis x right parenthesis d x equals 1

d.
integral subscript 0 superscript straight infinity f left parenthesis x right parenthesis d x equals pi

e.
integral subscript 0 superscript straight infinity f left parenthesis x right parenthesis d x text não é convergente. end text