Intregal of sqrt(x + sqrt(x2 + 1))dx. Please solve it as soon as possible.
Arjya Dutta , 5 Years ago
Grade 11
Integral Calculus> Intregal of sqrt(x + sqrt(x 2 + 1))dx. Pl...
1 Answers
Aditya Gupta
Last Activity: 5 Years ago
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 :)
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