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NCERT Class XII Mathematics Chapter - - Solutions

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Choose the correct answer in Exercises 167 to 168.
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Question : 168 of 271
Marks: +1, -0
∫1+x2dx\int\sqrt{1+x^2}dx is equal to
Solution:  
Let I=∫1+x2dxI=\int\sqrt{1+x^2}dx
=x21+x2+12log⁡∣x+1+x2∣+C=\frac{x}{2}\sqrt{1+x^2}+\frac{1}{2}\log\left|x+\sqrt{1+x^2}\right|+C
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