Mathematics

Mathematics

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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