First make a substitution and then use integration by parts to evaluate the integral:
\(\displaystyle \int\) sin (sqrt x)dx
This is what I have done up to now:
dv = dx
v = x
sin (sqrt x) = u
(0.5 cos (sqrt x))/ sqrt (x) = du
x sin (sqrt x) - \(\displaystyle \int\) (0.5x cos (sqrt x))/ sqrt (x)dx
\(\displaystyle \int\) sin (sqrt x)dx
This is what I have done up to now:
dv = dx
v = x
sin (sqrt x) = u
(0.5 cos (sqrt x))/ sqrt (x) = du
x sin (sqrt x) - \(\displaystyle \int\) (0.5x cos (sqrt x))/ sqrt (x)dx