MathCastle
CalculusMedium

Calculus · Medium problem

A robot's distance traveled (meters) by time xx (seconds) is A(x)=∫0x(3t2+1) dtA(x)=\displaystyle\int_0^x(3t^2+1)\,dt. At what time x>0x>0 is the robot's speed exactly 1313 m/s?

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