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Maths Definite Integral and Area Under Curves JEE Main 2023 - ( Definite Integration ) Numeric Response

Published by: CGP EDU Academic Team

Published on: August 13, 2026

For m, n > 0, let . If , then p is equal to

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The correct answer is:

(32) Given,

Now using integration by parts we get,

Now put m = 10, n = 6 in above equation we get,

11 (10, 6)+18 (11, 5)= 7 6 . 2 11 = 32 x (14) 6

Hence, on comparing with 11 (10, 6)+18 (11, 5)= p x (14) 6 we get,

p = 32

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