Define G(x)= _ 0 ^ x 1+t^ 4 ,dt

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

Problem

Define G(x)=∫0sin⁡x1+t4 dt.G(x)=\int_{0}^{\sin x} \sqrt{1+t^{4}}\,dt. What is G′ ⁣(π2)G'\!\left(\dfrac{\pi}{2}\right)? (a) 2\sqrt{2} (b) 11 (c) 00 (d) sin⁡1\sin 1

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