Trigonometric Function Integral (Jee Mains)

Definite Integration Properties

Medium

Trigonometric Function Integral

Let for ƒ(x) = 7tan⁸x + 7tan⁶x – 3tan⁴x – 3tan²x, ${I_1} = \int\limits_0^{\pi /4} {ƒ(x)dx}$ and ${I_2} = \int\limits_0^{\pi /4} {xƒ(x)dx}$ . Then 7I₁ + 12I₂ is equal to :

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