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- Jan 26, 2012

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**Problem**: Suppose that $h$ is a function such that $h(1) = -2$, $h^{\prime}(1) = 2$, $h^{\prime\prime}(1) = 3$, $h(2) = 6$, $h^{\prime}(2) = 5$, $h^{\prime\prime}(2) = 13$, and $h^{\prime\prime}$ is continuous everywhere.

Evaluate $\displaystyle\int_1^2 h^{\prime\prime}(u)\,du$.

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