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 -
1. Use integration by parts to evaluate the following indefinite integrals. (a) / x² sin(24) de (b) / -*et de (c) | x arcsec(r) da
1. (10 pts.) Compute the following integrals (a) [ 10 de In clos to (1) londo (a) seeds (bonus) 3+2V2)r? - 2x +3 dr (Hint: +1-(-x+ 2r - 1)(x - 2x - 1))
6.Evaluate the following indefinite and definite integrals 6. Evaluate the following indefinite and definite integrals. (a) ſe=v2+3e* dx secat 1+tant
Question 2 [3/3/4 marks] Compute the following integrals: (a) ((72 – 1)ec®-30 de (b) / 4+22+ zde IT
9. (12) Find the following indefinite integrals: a. {(x² +3x+7) dx b. dt
9. (12) Find the following indefinite integrals: a. f(x+3x+7) dr b. (3-vejai
Integration by substitution 1. Find each of the following indefinite integrals using integration by substitution: dz (a) / (xºcos(x4) ) do (c) / (sin(2) cromka) die (e) / (24) do (a) / (2.eller) die (0) / (zlog.cz) Integration by parts 2. Find each of the following indefinite integrals using integration by parts: (a) / (+cos(x)) dx (c) / (vVy + 1) dy (e) / (sin”(w) ) at (8) / (sin(o) cos(0) ) da (b) / (x2=+) di (a) / (x2108_(2))...
32. Antiderivatives and the Integral Understand the properties of indefinite integrals Question Use properties of the indefinite integral to express the following integral in terms of the simplest integrals: 1 (6+² - 8x) dx Select the correct answer below: MATH 1190.007 (8722) > Assignments > 32. Antiderivatives and the Integral 32. Antiderivatives and the Integral 20201 Select the correct answer below: des as us nments uncements ose de +8 5 xdx for de-8fxdi 10612x+8 / xde 10 688-1 sede ohra-8/rar
1. (34, 12) Evaluate the following integrals. For definite integrals, give answers in exact form. For indefinite integrals give your final answer in the variable x. Show work. THE WORK YOU SHOW MUST BE WRITTEN CORRECTLY. A. $()(**)dk 1. Continued. - B. -dx C. [vcosô sinº Odo