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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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∫[f(x)g′′(x)−f′′(x)g(x)]dx\int\left[f(x) g^{\prime \prime}(x)-f^{\prime \prime}(x) g(x)\right] d x is equal to
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Correct option: C
f(x)g′(x)−f′(x)g(x)f(x) g^{\prime}(x)-f^{\prime}(x) g(x)
Option C (f(x)g′(x)−f′(x)g(x)f(x) g^{\prime}(x)-f^{\prime}(x) g(x)) is correct because it results from applying integration by parts twice to the given integral.

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