JEE Main 20199 Jan, Evening shiftMathematicsMediumIntegral Calculus369× since 2002If f(x)=∫5x8+7x6(x2+1+2x7)2 dx, (x≥0),f\left( x \right) = \int {{{5{x^8} + 7{x^6}} \over {{{\left( {{x^2} + 1 + 2{x^7}} \right)}^2}}}} \,dx,\,\left( {x \ge 0} \right),f(x)=∫(x2+1+2x7)25x8+7x6dx,(x≥0), f(0)=0,f\left( 0 \right) = 0,f(0)=0, then the value of f(1)f(1)f(1) is :AOption A. −-− 12{1 \over 2}21BOption B. −-− 14{1 \over 4}41COption C. 12{1 \over 2}21DOption D. 14{1 \over 4}41CheckSkip · show solution