12) 5*3-41a dx 15) Rewrite 14) szlo0 Vandx . dx with the correct limits. DO NOT...
determine whether each integral is convergent or divergent 1- 1/(x-2)^3/2 dx, limits ( infinite to 3) 2- (1/3-4x)dx, limits (0 to -infinite) 3- e^(-5p) dx, limits ( infinite to 2) 4- (x^2/(sqrt(1+x^3)))dx , limits ( infinite to 0) 5- lnx/x dx , limits(infinite to 1) 6- 1/(x^2 +x)dx , limits (infinite to 1) 7- 3/x^5 dx ,limits (1 to 0) 8- dx/(x+2)^1/4 , limits (14 to -2) 9- 1/(x-1)^1/3 , limits (9 to 0) 10- e^x /((e^x) -1), limits (1...
Pls explain very carefully (state the thm u use in approriate part) 5. Limits of integrals Compute the following limits and justify the calculations: sin (x/n) dx 5. Limits of integrals Compute the following limits and justify the calculations: sin (x/n) dx
Question 2 please 1 and 2, determine whether or not the integral is In exercises improper. If it is improper, explain why 12. (a) 12 x-2/5 dx 「x-2/5 dx 「x2/5 dx (b) (c) I. (a) 0 13. (a 40 1 dx 2 x 14. (a In exercises 3-18, determine whether the integral converges or diverges. Find the value of the integral if it converges. 15. (a (b)人1x-4/3 dr 3, (a) l.lyMdx (b) x43 dx 16. (a 4. (a) 45 dx...
1 2. 3 4 5 10 11 12 13 14 15 Question & Using the trigonometric techniques of integration, evaluate the ſ cos12 (5x) sinº (5x) dx. 1. What is the representation of u? u = To answer question 2, fill in the box below by selecting the answer from the given choices. Write only the letter a, b, c,..., or h in the box. 1 -5 5 b) d) 15 13 15 1 -1 e) f) 65 65 75...
14 of 15 (0 complete) Evaluate the definite integral J (1x² - 6x + 5) dx (7x² - 6x + 5) dx = 0 (Simplify your answer.)
3. sin 7x dx du = Now rewrite the original integral in terms of u ONLY: Solve in terms of u: Substitute back. 4. Sx(ex) dx du Now rewrite the original integral in terms of u ONLY: Solve in terms of u: Substitute back.
Question 15 Use differentiation to determine whether the integral formula is correct. 54x(5x + 3,3 dx = eşx 2(5x + 3) 4 +C Yes O No Question 14 Use differentiation to determine whether the integral formula is correct. Sae*:*)&k=5 col (***)0 O Yes O No
Do not use calculator. 10 2. The value of " do is to s'of?dx = 5"x"dx = * | - x - - - - - 105 - - - 3. Find ((2 +6)(2 – 2)de 3 +2x?-12x+C 5(X+6)(x-2)dx =S(X?-2x +6x–12 )dx =5x+4y-tzdy = x + -12y = x+2x?_12y+C Math 148 Business Calculus Page 1
Do not evaluate, rewrite the integral using spherical coordinates 25-x² - y2 1 dz dx dy 05 NUS y=0 X-O Z=o
11. uf /*s(a)dx = 4 and 5* $(2)dx = 5, fina [°s(dr. 12. Find ſº va=2ds. (Hint: use geometry.) 13. Compute: 'Vole? + x'")dls. 14. Find /(2x + 3) 4x2 + 12xdv.