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Intregal of sqrt(x + sqrt(x2 + 1))dx.
Please solve it as soon as possible.

Arjya Dutta , 6 Years ago
Grade 11
anser 1 Answers
Aditya Gupta
put y= x + sqrt(x2 + 1)
or y – x= sqrt(x2 + 1)
y^2+x^2 – 2xy= x2 + 1
or x= (y – 1/y)/2
so dx= (1+1/y^2)/2 dy
so integral becomes 
sqrt(y)(1+1/y^2)/2 dy
= ½*(y^1/2+y^-3/2)dy, which can easily be integrated.
kindly approve :)
Last Activity: 6 Years ago
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