11. uf /*s(a)dx = 4 and 5* $(2)dx = 5, fina [°s(dr. 12. Find ſº va=2ds....
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...
cos'x dx sin 3x dx 2. an 45 sin cos'xdx 4 sin'xcos'x dr 44 sin'x cos'r dr 6. sin'xcosx dx 8. Jo sin'x cosx dx fa-sin 2x)' dx sin x + cos x dx 10. 9 f sin'z dx cos'x sin'x d 12. 11 sin'x Vcosx dx 14. 13. cot'r sin'x dx 16. cos'x tan'xdx 15 dx sin x dx 18. 17 1-sin x cos x tan'x dx 20. tanx dx 19 sec'x d sec'x dx 22. 21 tan'x secxdx...
15 51=dz ProblemS ,,mdx dr Problem, 8 fipam dx § sins(5x)cosa(Sr)dx Problem 6 Problem 4 Problem, 91x-9ds noblen, 7/ǐ Prablem 10 Problem 11 Evaluate each improper integral for, arctan ) dx ill 182+ 9 x2-4 Problem 12 The area of the region bounded by the parabola x-y-3) and the line y x is Problem 13 The base of a solid S is the parabolic region (x,y): xs y perpendicular the y-axis are squares. Find the volume of the solid S...
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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
Evaluate the integral. 4) S -2x cos 7x dx Integrate the function. dx (x2+36) 3/2 5) S; 5) Express the integrand as a sum of partial fractions and evaluate the integral. 7x - 10 6) S -dx x² . 44 - 12 6)
11. Evaluate S. 'S*(1 + 3x2 + 2y?) dx dy. 12. Find the volume in the first octant of the solid bounded by the cylinder y2 + z2 = 4 and the plane x = 2y. Graph for Problem 12 13. Find the volume under the paraboloid z = 4 - x2 - y2 and above the xy-plane. N Consider the solid region bounded above by the sphere x + y + z = 8 and bounded below by the...
Find each integral. 3/4 3. ſ12cos 2x dx 4. x cosxdx 0 5. Find the area under the curve y = sin’xcos x and above the x-axis from x = 0 to x = 1/2. [Hint: Use substitution to evaluate the integral representing the area.] she courseHero.com 70.5 This y resource waren 1/3 TT/2
1 (a) Evaluate the integral sz? dx. (32-7) 5 2 7 (b)if s f(x)dx = 3 and 5 f(x)dt = 4, find S f(x)dr. 5
please help 11. Use a Table of Integrals and an appropriate substitution to find: 34 +9e? +7e" dr Vez -36 Math&152 - Calculus II Name: -100% +50x² - 66x +36 -dx 5. Integrate: 25x² +16 Hint: Notice that the Degree(Numerator) > Degree(Denominator). So we will do the long division 14 and then do partial fraction decomposition on the remainder if necessary. x2 +11 4. Evaluate S dx by the partial fraction decomposition (x-3)(x2+4)