Question

Integration for (1+√x)²dx/√x
HELP PLIS
Ayudaaa

Answer 1

Answer:

Integration of (1+√x)^2/√x dx

Put 1+√x = u

That is, differentiating both sides,

1/2√x dx = du

or,

dx/√x = 2 du

Using these results in original integral,

Integration of 2 u^2 du

= 2/3 u^3 + c

= 2/3 (1+√x)^3 + c

Hope this helps you !