If F(x)=∫0x21+t3dtF(x) = \int_0^{x^2} \sqrt{1+t^3} dtF(x)=∫0x21+t3dt, what is the derivative F′(x)F'(x)F′(x)?
2x1+x62x\sqrt{1+x^6}2x1+x6
1+x6\sqrt{1+x^6}1+x6
x21+x3x^2\sqrt{1+x^3}x21+x3
2x(1+x6)1/2+3x22x(1+x^6)^{1/2} + 3x^22x(1+x6)1/2+3x2