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region bounded by: y= e^(-x^2), y = 0, x = 0, x = 1 revolved about the y axis. ....the integral would be: pi*integral from 0 to 1 [(e^(-x^2)]^2dx right?? idk what i am doing wrong?

the surroundings...? A system releases 113 kJ of heat to the surroundings and does 39 kJ of work on the surroundings. What is the change in internal energy and is process endothermic or exothermic? thanks!!