Question:medium

If $I_n = \int_0^{\pi/4} \tan^n \theta d\theta$, then $I_{12} + I_{10}$ is equal to}

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For integrals of the form $\int_0^{\pi/4} \tan^n x dx$, a useful recurrence relation is $I_n + I_{n-2} = \frac{1}{n-1}$. This property can quickly solve such problems by direct substitution of $n$.
Updated On: Apr 28, 2026
  • $1/8$
  • $1/12$
  • $1/11$
  • $1/10$
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The Correct Option is A

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