cos((+dt. (5 pts.) 1 3. Evaluate the integral 8(t)dt. (5 pts.) 4. Evaluate the sum Σ 23]n]. (4 pts.) 2 +2 +2 + 2+2 4 2
Question 23 3 pts Evaluate the integral: S: 3Vxdx Question 24 3 pts Calculate the total area of the region bounded by the curvey = 1522 +13, the x-axis, and the lines 9 and 2 = 16 2=
(4 pts) Evaluate the integral (5x – 10) dx using the net area of a region. (b) The positive and negative area are At = A =
3. (3 pts.) Convert the following double integral to an equivalent polar form but do NOT evaluate: 4-y2 3. (3 pts.) Convert the following double integral to an equivalent polar form but do NOT evaluate: 4-y2
(15 pts Question 6: Evaluate the following integral: 1*(1 – e-x) dx (a) Analytically (b) Single application of the trapezoidal rule (e) Multiple-application trapezoidal rule, with n = 2 and 4
Question 25 1 pts Evaluate the double integral SSR 6xy’dA, R = (2,4) > (1,21 84 Page 1040 100 32 None of the above or below 48 64 Previous
dx 0 x show all work! 4. [12 pts.] Use residues to evaluate the integral Jo +1
This Question: 8 pts 3 of 12 (0 complete) 5 Inx Evaluate the iterated integral given that the evaluation of the inner integral is 2x SS 5 Inx dy dx 4xy 1 1 SS 5 Inx dydx = 4xy Enter your answer in the answer box
4) Evaluate the iterated integral dx dy. 4) Evaluate the iterated integral dx dy.
Question 3 8 pts Evaluate algebraically (without using a calculator) the improper Integral e de if it is convergent. Show why if it is divergent. Show your work in detail 12pt Paragraph B Ι Ο Α e T! EP TO