If I_n = _0^/4 ^n x dx then I_2024 + I_2026 is equal to: Option 1: 1/2025 Option 2: 1/2027 Option 3: 1/2023 Option 4: 2/2025

The answer is '1/2025'. View full solution:

Calculus > Integrals

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If $I_n = \int_{0}^{\pi/4} \tan^n x dx$ then $I_{2024} + I_{2026}$ is equal to:

$\frac{1}{2025}$

$\frac{1}{2027}$

$\frac{1}{2023}$

$\frac{2}{2025}$

✅ Correct Option: 1

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B.	$\displaystyle\int_{-1}^{1} \sin^3 x \cos^4 x \, dx$	II.	$1$
C.	$\displaystyle\int_{-1}^{1} 3\vert x \vert^2 \, dx$	III.	$0$
D.	$\displaystyle\int_{0}^{4} \vert x-1 \vert \, dx$	IV.	$5$

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