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Let g(t) = ∫_ - π /2^π /2 \cos \left( π \over 4t + f(x) \right) dx, where f(x) = \log _e\left( x + √ x^2 + 1 \right),x \in R. Then which one of the following is correct? | Watch the step-by-step video solution for this NIMCET PYQ.