MATH 102 NYU

MTH 102 1. sin x2 Calculus B 1 [ln x2 ]2 4 Integrals: Answers 20. 2. ecosh x 1 3. tan (2x) 6 4. - ln (2 + cos x) 1/2 5. - 1 + x2 2 (x + 3)3/2 - 6 (x + 3) 3 8 2 7. 2 + 3x + (2 + 3x)3/2 9 27 6. 8. - 9. 10. ln x 1 - x x 21. - 2 1 + tan (x/2) 22.

MTH 102 x cos x2 dx = sin x2 sinh x ecosh x dx = 1 dx = 3 cos2 2x sin x dx = 2 + cos x x dx = (1 + x2 )2 x dx = x+3 Calculus B Integrals Review 1 dx = 1 4x2 x3 dx = 1 + x2 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20

Name: Student ID: Section 3 Essay Questions. Place your solution to each of the following questions in the space provided. You must show all of your work to receive full credit. (12 POINTS) To evaluate the following integral, first you need to use

Name: Student ID: Section 3 Essay Questions. Place your solution to each of the following questions in the space provided. You must show all of your work to receive full credit. (4 POINTS) Evaluate x(ln x)2 dx (2 POINTS) Evaluate 1 + x2 dx (4

Name: Student ID: Section 57 Essay Questions. Place your solution to each of the following questions in the space provided. You must show all of your work to receive full credit. e3x e3x = x e3x + e3x (2 POINTS) lim (3 POINTS) cot x dx = (3 P

Name: Student ID: Section 4 Essay Questions. Place your solution to each of the following questions in the space provided. You must show all of your work to receive full credit. x3 dx x2 + 1 (5 POINTS) Evaluate (5 POINTS) Evaluate sin2 (3x) co

Name: Student ID: Section 4 Essay Questions. Place your solution to each of the following questions in the space provided. You must show all of your work to receive full credit. (12 POINTS) To evaluate the following integral, first you need to use

MTH 102 Calculus B Limits Review 1. lim 2. lim x2 + sin x sin 1/x + 2 2x 3 cos x x x 1/x x0 tan x x + sin x Abdullah Al-Shammeri 1

Name: Student ID: Section 2 Essay Questions. Place your solution to each of the following questions in the space provided. You must show all of your work to receive full credit. (5 POINTS) Evaluate x4 dx (1 + x2 )2 (5 POINTS) Evaluate sin x cos