Use an appropriate definite integral to evaluate the following limit. MELLA Im ]-($+ 2+- (A) In...
8. Write down a definite integral (but do not evaluate) that produces the following limit of sums using the definition of definite integral: b) lim 61 k-l 8. Write down a definite integral (but do not evaluate) that produces the following limit of sums using the definition of definite integral: b) lim 61 k-l
Evaluate the definite integral by the limit definition. + 2) dx
13. Use the limit definition of the definite integral to evaluate 2x2 + 3) dx (Note: Use good summation and limit notation and show all steps.)
dx Evaluate by using the limit definition of the definite integral
Write the following improper integral as a limit of definite integrals, or as a sum of limits of definite integrals. DO NOT EVALUATE IT. (11/2 (tan/ode
Express the definite integral as a limit of Riemann sums. DO NOT EVALUATE. k (x² + 2 ) dx
A. Express the limit as a definite integral on the given interval. B. Use the form of the definition of the integral to evaluate the integral. n Š lim n-> Xi Ax, [1, 3] (xi +13 * 2 i=1 3 6 (2x - x2) dx
Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 2. 3 dx 2 (Type an exact answer.)
(a) Set up the appropriate limit(s) to evaluate the improper integral Do not evaluate the limit(s). = dr. (6) Determine whether the following integrals is proper, improper and convergent, or improper and divergent. Justify your answer. *1 + arctan(1) 10 (c) Evaluate the following integral or determine whether it is convergent.
a) Set up the appropriate limit(s) to evaluate the improper integral Do not evaluate the limit(s). Ś 4. 12 - 31 dr. (b) Determine whether the following integrals is proper, improper and convergent, or improper and divergent. Justify your answer. x + arctan(a) x + 3 $ (c) Evaluate the following integral or determine whether it is convergent. 1 S Edi X-V