🛠️ JEE➗ Maths

Let for \(f(\mathrm{x})=7{\tan }^{8}\mathrm{x}+7{\tan }^{6}\mathrm{x}-3{\tan }^{4}\mathrm{x}-3{\tan }^{2}\mathrm{x},\) \…

Q1

Let for \(f(\mathrm{x})=7{\tan }^{8}\mathrm{x}+7{\tan }^{6}\mathrm{x}-3{\tan }^{4}\mathrm{x}-3{\tan }^{2}\mathrm{x},\) \({\mathrm{I}}_{1}={\int }_{0}^{\pi /4}f(\mathrm{x})\mathrm{dx}\text{ and  }\)\({\mathrm{I}}_{2}={\int }_{0}^{\pi /4}\mathrm{x}f(\mathrm{x})\mathrm{dx}.\mathrm{Then}\) \(7{\mathrm{I}}_{1}+12{\mathrm{I}}_{2}\) is equal to :

[JEE Main 2025, 22 Jan (Shift 1)]

a

\( 2 \pi \)

b

\( \pi \)

c

1

d

2

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