Characterize the below integrals (definite or indefinite) and solve the integrals by using the substitution rule:...
Characterize the below integrals (definite or indefinite) and solve the integrals by using the substitution rule: 9+x2 dx b. J v1+ cosx + sinxdx
Characterize the below integrals (definite or indefinite) and solve the integrals: a. S(-10x5 + 3x2 - 5x)dx b. S(-8VxG)dx c. 5 (3x6 - 11) dx d. S(12e* - 9 sin x + 5x-2)dx e. ; (*********=-)dx
Characterize the below integrals (definite or indefinite) and solve the integrals: a. (-10x5 + 3x2 - 5x)dx b. S(-8Vx)dx C. SCEx _17) ax d. S(12e* - 9 sin x + 5x-2)dx 5 (6********=)dx
Characterize the below integrals (definite or indefinite) and solve the integrals: a. (5x2 + 7x4 + 50) dx b. f (6e* - 7cos x + 14)dx c. Si (-5sinx + 3) dx
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=
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
10. (26pts) Find each of the definite integrals, indefinite integrals, and derivatives. 2 dx .22 5) / see?zda (7 - cos x) dc (d) dc sin (x2 – 4) dt (e) ["47" (3+z")" dx () /22"/+ 2 du
In Problems 14-18, evaluate the given definite or indefinite integral, using u-substitution if appropriate. (12 points each) x + 3x -4 dx r? 14. 15. S (x+12 +2x - 3)dx
3. Use the u-substitution method to calculate the following indefinite Integrals a. S(x2 - 4)2x dx u= b. Sx?e**dx u= dur C. Sx sinx? dx U= dus
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))...