Question: The graph of a differentiable function \(f\) on the close interval [1, 7] is shown. Let \(h\left( x \right)=\int\limits_{1}^{x}{f\left( t \right)dt}\), for \(1\le x\le 7\).

1. Find \(h\left( 1 \right)\)
2. Find \(h'\left( 4 \right)\)
3. On what interval is the graph of h concave upward?
4. Find the value of x at which h has its maximum on the closed interval [1, 7].

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