Let . What is…

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

Problem

Let H(x)=∫0x2(3t2+1) dtH(x)=\displaystyle\int_{0}^{x^{2}} \bigl(3t^{2}+1\bigr)\,dt. What is H′(x)H'(x)? (a) 3x2+13x^{2}+1 (b) 2x(3x4+1)2x\bigl(3x^{4}+1\bigr) (c) x6+x2x^{6}+x^{2} (d) 2x(3x2+1)2x\bigl(3x^{2}+1\bigr)

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