1. (34, 12) Evaluate the following integrals. For definite integrals, give answers in exact form. For...
6.Evaluate the following indefinite and definite integrals 6. Evaluate the following indefinite and definite integrals. (a) ſe=v2+3e* dx secat 1+tant
4. [25 points) Solve each of the following definite and indefinite integrals. Show all of your work for full credit. For definite integrals, leave numerical answers in exact form (without rounding). Please double-check to make sure you copy the problems correctly, as minor typos could change the difficulty of these substantially. a. 1(413 – 1/3 + 1)dt b. Syndx c. S x cos(3x) dx d. S 6x sin(3x) dx e. 2y In y dy
9. (12 pts) Evaluate the following definite and indefinite integrals: (a) 12 dt d dx 1* 2 t Hint: Apply Part 1 of the Fundamental Theorem of Calculus and the Chain Rule. (b) /6 sin 20 de (sin2 @ + 2)2 -
Evaluate the following indefinite or definite integrals using substitution. SHOW EACH STEP on the answer sheets. 16. Sa com a dx u=__ du= 17. 62 e 2 dx u=- du=
This chapter covers anti-derivatives, definite integrals, and applications in Calculus. Please show all work and circle all final answers. Use correct limit notation and include units when applicable. Use the graph of f(x) given below to find the following. Give exact answers, not decimal approximations. f(x)dx -2 -3 -2 ol 6 10 11 12
Let Use these values to evaluate the given definite integrals. [ fayde = 12. Disleyde = -8. [ole) de = -10. ["alwydr = –13, => [°(f(x) + f(x) dx = Đ» "(F(a) – g()) dx = 1 g(x)) dx = + 2g(x)) dx = d) Find the value a such that/ (a f(x) + g(x)) dx = 0. a=
Question 9 (4 Marks) k4 Evaluate the following definite integrals: 2 k3 +36 9.1 S dk 9.2 S" (x® + e*) dx 9.3 %, (4x3 + 5x2 + 6x) dx (4 Marks) (7 Marks) [Sub Total 15 Marks]
A. Show that the differential forms in the integrals are exact. B. Then evaluate the integrals. (0,1) (3x - y + + 1) dx + (-x - 2y + 2) dy
#2 #3 #4 please snf thank you :) Evaluate the following anti derivatives (Indefinite integral) 1)「(2x3-5x + 7)dr 3 x ax Evaluate the following definite integrals: 01 2Sec2xdc Evaluate the following anti derivatives (Indefinite integral) 1)「(2x3-5x + 7)dr 3 x ax Evaluate the following definite integrals: 01 2Sec2xdc
Evaluate the integrals. Please show each step clearly. Thanks! :) 1) Evaluate the following integrals. You must show your work. If an integral does not converge, show why. a. st x2 - 4x – 1 dx x3 + x 10 b. 5 - dx (x - 2)3 c. .00 15x2 + 6 dx (5x3 + 6x)3