Suppose that the supply function of some commodity is S(q) = q +5q+100 , and the demand function for the quantity is D(q) = 350-q² . Find the consumers' surplus. Please show all integration by hand,...

Extracted text: Suppose that the supply function of some commodity is S(q) = q +5q+100 , and the demand function for the quantity is D(q) = 350-q² . Find the consumers' surplus. Please show all integration by hand, though you can use fnlnt to check your answer.