JEE Math Practice Question

If $$f\left( x \right) = \int {{{5{x^8} + 7{x^6}} \over {{{\left( {{x^2} + 1 + 2{x^7}} \right)}^2}}}} \,dx,\,\left( {x \ge 0} \right),$$ $$f\left( 0 \right) = 0,$$ then the value of $$f(1)$$ is :

1. A.$$ - $$ $${1 \over 2}$$
2. B.$$ - $$ $${1 \over 4}$$
3. C.$${1 \over 2}$$
4. D.$${1 \over 4}$$