If _0^1 1 3+x + 1+x dx = a + b 2 + c 3, where a, b, c are rational numbers, then 2a + 3b – 4c is equal to

JEE Main 2024 Mathematics question

If , where a, b, c are rational numbers, then 2a + 3b – 4c is equal to

Answer: (B)

Multiply and divide by √(3+x) − √(1+x): the integrand becomes (√(3+x) − √(1+x))/2. Integrating, (1/3)[(3+ −

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Question ID VK-016725