A function f(x)f(x)f(x) is defined by f(x)=∫0x2sin(t)dtf(x) = \int_{0}^{x^2} \sin(\sqrt{t}) dtf(x)=∫0x2sin(t)dt. Determine the derivative f′(x)f'(x)f′(x).
2xsin(x)2x\sin(x)2xsin(x)
sin(x)\sin(x)sin(x)
x2cos(x)x^2\cos(x)x2cos(x)
2sin(x)2\sin(x)2sin(x)