Let . Which of the following equals…

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Let

F(x)=\displaystyle\int_{x^{3}}^{2} e^{t^{2}}\,dt

. Which of the following equals

F'(x)

? (a) $-e^{x^{6}} (3x^{2})$ (b) $e^{x^{6}} (3x^{2})$ (c)

-e^{x^{6}}

(d) $-e^{x^{3}} (3x^{2})$