Let $ I_n= \int \tan^n x dx , (n > 1)$ If $I_4+I_6=a \tan^5 x+bx^5+C$ where C is a constant of integration, then the ordered pair (a, b) is equal to :

Question

$\begin{array}{1 1} (1) \bigg(\large\frac{1}{5},0 \bigg) \\ (2) \bigg(\large\frac{1}{5},-1 \bigg) \\ (3) \bigg(-\large\frac{1}{5},0 \bigg) \\ (4) \bigg(-\large\frac{1}{5},1 \bigg) \end{array} $