jee-main 2017 Q82

jee-main · India · 02apr Standard Integrals and Reverse Chain Rule Verify or Prove an Antiderivative/Integral Identity

Let $I_n = \int \tan^n x\, dx$ $(n > 1)$. If $I_4 + I_6 = a\tan^5 x + bx^5 + c$, then the ordered pair $(a, b)$ is equal to
(1) $\left(-\dfrac{1}{5}, 1\right)$
(2) $\left(\dfrac{1}{5}, 0\right)$
(3) $\left(\dfrac{1}{5}, -1\right)$
(4) $\left(-\dfrac{1}{5}, 0\right)$

Let $I_n = \int \tan^n x\, dx$ $(n > 1)$. If $I_4 + I_6 = a\tan^5 x + bx^5 + c$, then the ordered pair $(a, b)$ is equal to\\
(1) $\left(-\dfrac{1}{5}, 1\right)$\\
(2) $\left(\dfrac{1}{5}, 0\right)$\\
(3) $\left(\dfrac{1}{5}, -1\right)$\\
(4) $\left(-\dfrac{1}{5}, 0\right)$

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