Let for f(x) = 7tan⁸ x + 7tan⁶ x - 3tan⁴ x - 3tan² x, I₁ = ∫₀^(π/… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 22 January, Shift 1Integration Techniques (Substitution, Parts, Partial Fractions)

Let for $f(x) = 7\tan^8 x + 7\tan^6 x - 3\tan^4 x - 3\tan^2 x$ , $I_1 = \int_0^{\frac{\pi}{4}} f(x)dx$ and $I_2 = \int_0^{\frac{\pi}{4}} x f(x)dx$ . Then $7I_1 + 12I_2$ is equal to:

A
$2\pi$
B
$\pi$
C
$1$
D
$2$

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