JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{f(x) g^{\prime}(x)+f^{\prime}(x) g(x)}{f(x) \,g(x)}\{\log f(x)+\log g(x)\} d x

is equal to

View answer and explanation

Correct option: B

\frac{1}{2}[\log \{f(x)\, g(x)\}]^2+C

Option B is correct because the integral simplifies to a form that can be solved by recognizing the derivative of log(f(x)g(x)).

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