Question

Find the integral of (3^(1/2) +x^(1/2))^2

Answer 1

Is it:
\[\large \int\limits(\sqrt{3} +\sqrt{x} )^{2} \]??

Answer 2

yes

Answer 3

\[
\int(x+2\sqrt{3x}+3)dx=\int x\ dx+2\sqrt3\int\sqrt x\ dx+3\int dx
\]

Answer 4

could explain some of the steps that you took?

Answer 5

\[
(\sqrt3+\sqrt x)^2=(\sqrt3+\sqrt x)(\sqrt3+\sqrt x)=x+2\sqrt{3x}+3
\]

Answer 6

oooh okay i see so you expanded it first.. alright i think i get this question now. Thanks !