Question

integral of (cosx+sqrt(sins))^2

Answer 1

my first guess would be to multiply out

Answer 2

try
\[\int \sin(x)+\cos^2(x)+2\sqrt{\sin(x)} \cos(x)dx\]

Answer 3

first of obvious
last is a simple u - sub
middle is one of those double angle identities

Answer 4

by which i mean
\[\int \cos^2(x)dx=\frac{1}{2}\int (1+\cos(2x))dx\]