JEE Math Practice Question
Let $${I_n} = \int {{{\tan }^n}x\,dx} ,\,\left( {n > 1} \right).$$ If $${I_4} + {I_6}$$ = $$a{\tan ^5}x + b{x^5} + C$$, where C is a constant of integration, then the ordered pair $$\left( {a,b} \right)$$ is equal to
- A.$$\left( {{1 \over 5},0} \right)$$
- B.$$\left( {{1 \over 5}, - 1} \right)$$
- C.$$\left( { - {1 \over 5},0} \right)$$
- D.$$\left( { - {1 \over 5},1} \right)$$
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