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JEE Main202330 Jan 2023Morning ShiftMathematicsDefinite IntegrationActual

lim x → 0 48 x 4 ∫ 0 x t 3 t 6 + 1 d t is equal to

Correct answer

0

Step-by-step solution

Let L = lim x → 0 48 ∫ 0 x t 3 1 + t 6 d t x 4 → 0 0 Applying L'hospital rule, we get L = lim x → 0 48 x 3 1 + x 6 4 x 3 ⇒ L = lim x → 0 12 1 + x 6 ⇒ L = 12

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