Question: Evaluate T/4, Jo*In (1 + tan x) dx cb/2 f(x) dx : | (f(x) + f(b x)) dx.

Evaluate T/4, Jousing the following steps.

a. If f is integrable on [0, b], use substitution to show that cb/2 f(x) dx : | (f(x) + f(b – x)) dx.

b. Use part (a) and the identity T/4, Jo"*In (1 + tan x) dx cb/2 f(x) dx : |to evaluate (f(x) + f(b x)) dx.

T/4, Jo"*In (1 + tan x) dx cb/2 f(x) dx : | (f(x) + f(b x)) dx.

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