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Mathematics · 2017
JEE Main 2017 · 2017-04-02 Offline · Q74
Let I_n =∫ tan^n x d x,( n >1). If 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:
Let $\displaystyle \mathrm{I}_{\mathrm{n}}=\int \tan ^{\mathrm{n}} x \mathrm{~d} x,(\mathrm{n}>1) . \quad$ If $\displaystyle \mathrm{I}_4+\mathrm{I}_6=\mathrm{a} \tan ^5 x+\mathrm{b} x^5+\mathrm{C}$, where C is a constant of integration, then the ordered pair $\displaystyle (\mathrm{a}, \mathrm{b})$ is equal to :
Official answer
(1)
$\displaystyle \left(\frac{1}{5}, 0\right)$
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JEE Main 2017 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.