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Given a funtion g, continous everywhere such that `g (1)=5 and int _(0)^(1) g (t) dt =2.` If `f (x) =1/2 int _(0) ^(x) (x -t)^(2) g (t) dt,` then find the value of `f ''(1)+f''(1).`

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VK JAISWAL-INDEFINITE AND DEFINITE INTEGRATION-EXERCISE (SUBJECTIVE TYPE PROBLEMS)
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