[See Solution] Let f(t)=t for 0 ≤q t ≤q 2 and f(t)=3 for 2 Find an explicit expression for F(x)=∫_0^x f(t) d t as a function of x. Sketch F and

Question: Let $f(t)=t$ for $0 \leq t \leq 2$ and $f(t)=3$ for \(2

Find an explicit expression for $F(x)=\int_{0}^{x} f(t) d t$ as a function of $x$.
Sketch $F$ and determine where $F$ is differentiable.
Find a formula for $F^{\prime}(x)$ wherever $F$ is differentiable.

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[See Solution] Let f(t)=t for 0 ≤q t ≤q 2 and f(t)=3 for 2 Find an explicit expression for F(x)=∫_0^x f(t) d t as a function of x. Sketch F and

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