QJEEAdv06Ma4744: JEE Advanced 2006 Mathematics - Class 12 JEEAdv06Ma4744 Solution: Let f ( x ) = { e x , 0 ≤ x ≤ 1 2 − e x − 1 , 1 < x ≤ 2 x − e , …

Question

Verified Solution • 2025–26 Session moderate

Let

f (x) = {\begin{matrix} e^{x}, & 0 \leq x \leq 1 \\ 2 - e^{x - 1}, & 1 < x \leq 2 \\ x - e, & 2 < x \leq 3 \end{matrix}

and

g\left( x \right) = \int\limits_0^x {f\left( t \right)dt,x \in \left[ {1,3} \right]}

then

g(x)

has

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