MATH 121 Lecture Notes - Lecture 19: Antiderivative, Marginal Cost
Document Summary
Math 121 section 6. 4 the definite integral: algebraic viewpoint and the. Fundamental theorem of calculus: let be continuous on the interval [(cid:1853),(cid:1854)], The second part: if is any antiderivative of , then. 0 b dxxfk k dxxf xf xg dx b a b a dxxf b a b c dxxf dxxf dxxf dxxf a b dxxf c a a a. A b a a a b b dxxg. Now let"s look at some definite integrals that require substitution. Example 4: calculate the total area of the region described. Do not count area beneath the x-axis as negative. a). b). Example 5: the marginal cost of producing the xth box of light bulbs is. Determine how much is added to the total cost by a change in production from x = 20 to x = 80 boxes. Example 6: the number of research articles in the prominent journal physical.
