If \int f(x) {\Sin} x \cdot {\Cos} x \dx=\frac{1}{2 (b^2-a^2) } \log f(x)+c, where c is the constant of integration, then f(x)=

Correct Answer is : 2(b2−a2)Cos2x

\frac{2}{ (b^2-a^2) {\Sin} 2 x}

\frac{2}{ (b^2-a^2) {\Cos} 2 x}

KCET 2010 Math Solved Paper

Question : 54 of 60

Marks: +1, -0

If ∫f(x)‌Sin‌x⋅Cos‌x‌dx=‌

2(b2−a2)

‌log‌f(x)+c, where c is the constant of integration, then f(x)=

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