TMUA 2022 Paper 1 Q3 — Worked Solution

P1·Integration, Differentiation·4.5Official · 2022 · Q3

repeated-integrationdefinite-integralsimultaneous-equations

Given the following statements about a function

f

∙ f^{''} (x) = a

for all

x

∙ f (0) = 1, f (1) = 2

∙ \int_{0}^{1} f (x) d x = 1

find the value of

a

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