If $f(x) = \int \frac{\left(5x^8 + 7x^6\right)}{\left(x^2 + 1 + 2x^7\right)^2}\,dx,\,(x \geq 0)$, and $f(0) = 0$, then the value of $f(1)$ is (1) $\frac{-1}{4}$ (2) $\frac{1}{2}$ (3) $\frac{1}{4}$ (4) $-\frac{1}{2}$
If $f(x) = \int \frac{\left(5x^8 + 7x^6\right)}{\left(x^2 + 1 + 2x^7\right)^2}\,dx,\,(x \geq 0)$, and $f(0) = 0$, then the value of $f(1)$ is\\
(1) $\frac{-1}{4}$\\
(2) $\frac{1}{2}$\\
(3) $\frac{1}{4}$\\
(4) $-\frac{1}{2}$