For the function f(x)=∫0x2sin(t)dtf(x) = \int_0^{x^2} \sin(\sqrt{t}) dtf(x)=∫0x2sin(t)dt, determine f′(x)f'(x)f′(x).
2x \sin(x)
\sin(x)
x^2 \sin(x)
2 \sin(x)