The area enclosed by the curves y = x^2, y = x^3, x = 0 and x = p, where p > 1, is 1/6. The p equals

JEE Main 2012 Mathematics question

The area enclosed by the curves , , x = 0 and x = p, where p > 1, is 1/6. The p equals

Answer: (4)

Area \int_0^1$ - + - = + [ - +

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Question ID VK-103527