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Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson's Rule to approximate the given integral with the specified value of [tex]n[/tex]. (Round your answers to six decimal places.)

[tex]\[ \int_1^5 \frac{6 \cos (4 x)}{x} \, dx, \quad n=4 \][/tex]

(a) the Trapezoidal Rule
[tex]\[ \square \][/tex]

(b) the Midpoint Rule
[tex]\[ \square \][/tex]

(c) Simpson's Rule
[tex]\[ \square \][/tex]



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