MHT CET 2026 Mathematics question

MathematicsIndefinite IntegrationMHT CET 2026

The value of is

Answer: (D)

Solution

Put , so and . Then 2x^{1/3}dx=2x^{2/3}\cdot x^{-1/3}dx=2t\cdot\tfrac32dt=3t\,dt. The integral becomes \int\sin\cos\int$ t dt]=3[-t t+ t]+c=3[- +

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Question ID VK-100194