Let f(x)=∫x2x3sin(t2)dtf(x) = \int_{x^2}^{x^3} \sin(t^2) dtf(x)=∫x2x3sin(t2)dt. What is f′(x)f'(x)f′(x)?
3x2sin(x6)−2xsin(x4)3x^2 \sin(x^6) - 2x \sin(x^4)3x2sin(x6)−2xsin(x4)
x3sin(x6)−x2sin(x4)x^3 \sin(x^6) - x^2 \sin(x^4)x3sin(x6)−x2sin(x4)
3x2cos(x6)−2xcos(x4)3x^2 \cos(x^6) - 2x \cos(x^4)3x2cos(x6)−2xcos(x4)
sin(x6)−sin(x4)\sin(x^6) - \sin(x^4)sin(x6)−sin(x4)