Parametrized Integral problem

$\int_C xds$ where $x=\frac{3}{4}sin(2t)$ $y=\cos^3 t$ $z=\sin^3 t$ How do I solve this type of integrals?

I don't understand how integrate because $ds=\sqrt{dx^2+dy^2+dz^2}dt$ but I can't see how factorize properly to simplify the integral. Any help?

$$\int_C x~ds = \frac{3}{2}\int x(t)dt$$
Hint: $\int_C f(x,y,z) ds =\int_a^bf(x(t),y(t),z(t))\sqrt{x'(t)^2+y'(t)^2+z'(t)^2} dt$ where $a\leq t \leq b$