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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫x+11+x2dx=\int \frac{x+1}{\sqrt{1+x^2}} d x=
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Correct option: C
1+x2+log⁡{x+1+x2}+c\sqrt{1+x^2}+\log \left\{x+\sqrt{1+x^2}\right\}+c
Option C is correct because the integral can be split into two parts, each solved by a different method.

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