Let f and g are two real valued differentiable functions satisfying. f – InterviewSolution

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1.	Let f and g are two real valued differentiable functions satisfying. f(x)=α→0Lt1α4∫α0(ex+t−ex)(ln2(t+1))2t2+3dtand∫x0g(t)dt=3x+∫0xcos2t g(t) dt Range of g(x) is
Answer» Let f and g are two real valued differentiable functions satisfying. $f (x) = α \to 0 L t \frac{1}{α^{4}} \int_{0}^{α} \frac{(e^{x + t} - e^{x}) (l n^{2} (t + 1))}{2 t^{2} + 3} d t a n d \int_{0}^{x} g (t) d t = 3 x + \int_{x}^{0} c o s^{2} t g (t) d t$ Range of g(x) is

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