Question

intergrate sin(x)^(1/2) * x^(1/2)

Answer 1

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

Answer 2

yes. =D

Answer 3

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.