JEE Main 2024 Mathematics question

MathematicsIndefinite IntegrationJEE Main 2024

If , where C is the constant of integration, then the value of α + β + 20AB is .

Answer: 7

Solution

Write the integrand as ((x − 1)/(x + /(x + 3)². With t = (x − 1)/(x + 3), dt = 4dx/(x + 3)², so

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Question ID VK-012477