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Integration : Finding a Function from a Double Derivative

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Find a function f(x) such that f''(x) = x^2 + cos x and f(0) = 1 and f'(0) = 0.
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A function is found from a double derivative. The solution is detailed and well presented.

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Find a function f(x) such that f′′(x) = + cos x and f(0) = 1 and f′(0) = 0.
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