Question

If f(x) = (2 - xcos x)/(2 + xcos x) and g(x) = logₑ x,(x > 0) then the value of the integral
π/⁴∫-π/₄ g(f(x))dx is:
(A) logₑ 1 (B) logₑ 2
(C) logₑ e (D)
logₑ 3

Answer 1

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given

f(x) = (2 - xcos x)/(2 + xcos x)

g(x) = logₑ x,(x > 0)

step by step explanation

refer to attachment

correct option is a) logₑ 1

Answer 2

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f(x) = (2 - xcos x)/(2 + xcos x)

g(x) = logₑ x,(x > 0)

refer to the attachment

correct option a)