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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
If ∫dxx2+2x+1=Alog⁡∣x+1∣+C\int \frac{{dx}}{\sqrt{{x}^2+2 {x}+1}}={A} \log |{x}+1|+{C} for x<−1{x} < -1 then AA is
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Correct option: C
-1
Option C (-1) is correct because the integral simplifies to −log⁡∣x+1∣+C-\log |x+1| + C for x<−1x < -1, thus A = -1.

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