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4 In this problem you will calculate 6:x dax by using the formal definition of the definite 2 integral: f(x) da = lim a 17-+00
4 In this problem you will calculate 6:x dax by using the formal definition of the definite 2 integral: f(x) da = lim a 17-+00 *= 1 (a) The interval [2, 4) is divided into n equal subintervals of length Ax. What is Ax (in terms of n)? (b) The right-hand endpoint of the kth subinterval is denoted . What is * (in terms of k and n)? (c) Using these choices for * and Ac, the definition tells us that 4 6x da = lim 71-+00 *-1What is f(*) Ax (in terms of k and n)? f(* ) Ax = (d) Express _ f( )Ax in closed form. (Your answer will be in terms of n.) E f( )Ax = (e) Finally, complete the problem by taking the limit as n -> co of the expression that you found in the previous part. 4 6x da = lim = T Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining
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