If f(x)=∫0sin(x)et2dtf(x) = \int_0^{\sin(x)} e^{t^2} dtf(x)=∫0sin(x)et2dt, what is f′(x)f'(x)f′(x)?
cos(x)esin2(x)\cos(x) e^{\sin^2(x)}cos(x)esin2(x)
esin2(x)e^{\sin^2(x)}esin2(x)
2sin(x)cos(x)esin2(x)2 \sin(x) \cos(x) e^{\sin^2(x)}2sin(x)cos(x)esin2(x)
sin(x)ecos2(x)\sin(x) e^{\cos^2(x)}sin(x)ecos2(x)