2h Approximate I(f) = So" f(x)dx by replacing f(x) with P1(x), the linear interpolant of ƒ with nodes 0 and h (part of this problem is to know what P:(x) means). Find the resulting numerical...

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Extracted text: 2h Approximate I(f) = So" f(x)dx by replacing f(x) with P1(x), the linear interpolant of ƒ with nodes 0 and h (part of this problem is to know what P:(x) means). Find the resulting numerical integration formula and find its degree of precision. Prove every claim.