Solve the equation


Let $I_{n}=\int \tan ^{n} x d x,(n>1) . I_{4}+I_{6}=a \tan ^{5} x+b x^{5}+C$, where $C$ is a constant of integration, then the ordered pair $(a, b)$ is equal to :-

  1. $\left(-\frac{1}{5}, 0\right)$

  2. $\left(-\frac{1}{5}, 1\right)$

  3. $\left(\frac{1}{5}, 0\right)$

  4. $\left(\frac{1}{5},-1\right)$

Correct Option: , 3


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