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Question Number 30564 by abdo imad last updated on 23/Feb/18
fandgare2functionCnon[a,b]provethat∫abf(n)(x)g(x)dx=[∑k=0n−1(−1)kf(k)g(n−k)]ab+(−1)n∫abf(x)g(n)(x)dx
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![f and g are 2 function C^n on [a,b] prove that ∫_a ^b f^((n)) (x)g(x)dx=[Σ_(k=0) ^(n−1) (−1)^k f^((k)) g^((n−k)) ]_a ^b +(−1)^n ∫_a ^b f(x)g^((n)) (x)dx](Q30564.png)