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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\left( x \right)\,\,g''\,\left( x \right)\,\, - \,\,f''\,\,\left( x \right)\,\,g\left( x \right)} \right\}\,\,dx is equal to
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Correct option: C
f(x) g′  (x)  −  f′(x)g′  (x)f\left( x \right)\,g'\,\,\left( x \right)\,\, - \,\,f'\left( x \right)g'\,\,\left( x \right)
Option B (f'(x)g(x) - f(x)g'(x)) is correct because it results from applying integration by parts twice to the given expression.

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