math calc problem

Question

integral 3dy / 2√y (1+y)

thank you

Answer 1

To find the integral ∫3 dy2y(1+y), let's break it down step by step:

Simplify the integrand:

The integrand can be simplified as: 3/2∫dy/y(1+y)

Substitute u=sqrt(u)

Substituting these into the integral, we get: 3/2∫2u du/u(1+u²)=3∫ du/(1+u²)

Integrate w.r.t u and then substitute back.

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