The integral ∫₂⁴ (log x²)/(log x² + log (36 - 12x + x²))dx is equal to:

Integral Calculus: JEE Main 2015 Mathematics question

JEE Main 2015 · Session, Shift 1 · Q3351

JEE Main 2015Session, Shift 1MathematicsEasyIntegral Calculus369× since 2002

The integral

\int\limits_2^4 {{{\log \,{x^2}} \over {\log {x^2} + \log \left( {36 - 12x + {x^2}} \right)}}dx}

is equal to :

JEE Main 2015 · Session, Shift 1 · Q3351

JEE Main 2015Session, Shift 1MathematicsEasyIntegral Calculus369× since 2002

The integral

\int\limits_2^4 {{{\log \,{x^2}} \over {\log {x^2} + \log \left( {36 - 12x + {x^2}} \right)}}dx}

is equal to :