## anonymous 5 years ago intergrate sin(x)^(1/2) * x^(1/2)

1. anonymous

Is it $\int\limits_{}^{}\sin (\sqrt{x})\sqrt x dx?$

2. anonymous

yes. =D

3. anonymous

Start by using a substitution u=x^(1/2), you will get: $u=\sqrt x \implies du={1 \over 2\sqrt x}dx$, then the integral:$\int\limits_{}^{}2u^2 \sin {u} {du}$ This can be integrated using integration by parts.