The value of the integral _ -1 ^2 _e (x + x^2+1 )dx is :

JEE Main 2024 Mathematics question

The value of the integral is :

Answer: (B)

Integrating by parts, ∫ln(x + √(x² + 1))dx = x ln(x + √(x² + 1)) − ∫x/√(x² + 1)dx = x ln(x + √(x² + 1)) − √(x² + 1). Evaluating

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Question ID VK-016462