Define . Which of the following best represents…

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

Problem

Define G(x)=∫x3cos⁡(t2) dt+∫4xt dtG(x)=\displaystyle\int_{x}^{3} \cos\bigl(t^{2}\bigr)\,dt+\int_{4}^{x} t\,dt. Which of the following best represents G′(x)G'(x)? (a) cos⁡(x2)+x\cos\bigl(x^{2}\bigr)+x (b) −2xsin⁡(x2)+x-2x\sin\bigl(x^{2}\bigr)+x (c) −cos⁡(x2)+x-\cos\bigl(x^{2}\bigr)+x (d) −cos⁡(x2)−x-\cos\bigl(x^{2}\bigr)-x

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