Let . Which of the following equals…

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

Problem

Let G(a)=∫0a21+t3 dtG(a)=\displaystyle\int_{0}^{a^{2}} \sqrt{1+t^{3}}\,dt. Which of the following equals G′(a)G'(a)? (a) a1+a6a\sqrt{1+a^{6}} (b) 2a1+a32a\sqrt{1+a^{3}} (c) 2a1+a62a\sqrt{1+a^{6}} (d) 1+a6\sqrt{1+a^{6}}

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