Let f(x) = cases e^x & for 0 x 1 2 - e^ x-1 & for 1 < x 2 x - e & for 2 < x 3 cases and g(x) = _0^x f(t) ,dt, 1 x 3. Then g(x) has

JEE Advanced Mathematics question

Let

f(x) =

and , . Then has

Answer: (A)

(wherever is continuous, i.e. on ). Critical points: . - On : . - On : . - On , .

Sign of : positive on , negative

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Question ID VK-110577