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Integration of (2+sqrt x)/(x+sqrt x+ 1)^2

Integration of  (2+sqrt x)/(x+sqrt x+ 1)^2

Grade:

2 Answers

Akash Kumar Dutta
98 Points
8 years ago

apply eulers subsitution

Akshansh Jain
35 Points
8 years ago

Using x=u2

dx=2u.du

so its:

integration of (2+u)/(u2+u+1).dx

now, the numerator is derivative of denominator so its:

u2 * log(u2+u+1)

because

intergation of f''(x)/f(x) = log[f(x)]

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