How to integrate sin sqrt(x)

Published On :2021-01-27 12:32:00

[∫sin√x dx]

By Substitution begin{aligned} text { suppose } Rightarrow z=sqrt{x} \ z^{2}=x \ 2 z d z=d x end{aligned} By Parts begin{array}{lc} text { Let } Rightarrow u=2 z & d v=sin z \ d u=2 & v=-cos z \ -2 z cos z+4 int cos z mathrm{~d} z \ -2 z cos z+4 sin z+C \ -2 sqrt{x} cos sqrt{x}+4 sin sqrt{x}+C end{array}