Evaluate the following indefinite or definite integrals using substitution. SHOW EACH STEP on the answer sheets....
6.Evaluate the following indefinite and definite integrals 6. Evaluate the following indefinite and definite integrals. (a) ſe=v2+3e* dx secat 1+tant
Characterize the below integrals (definite or indefinite) and solve the integrals by using the substitution rule: a. S(-11(5x + 7)5)dx b. S(4V7x - 1)dx C. J-8 siz3x cosx) dx d. S -6 dx 2x+3 e. S(-5sin(9x - 4))dx
Characterize the below integrals (definite or indefinite) and solve the integrals by using the substitution rule: 9+x2 dx b. J v1+ cosx + sinxdx
For each indefinite integral, evaluate the integral. For each definite integral, evaluate the integral or show that it is divergent. ******Please try not to use U-sub, I do not understand how the online step by step calculators solve using 4. a and b 8+2x2 r(arctan(x))dx 8+2x2 r(arctan(x))dx
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
Evaluate the following indefinite integrals using u-substitution. Use the equation editor to display your result. s 5 cos x(7 + sin x) dx 12pt Paragraph BI VALT?v v Eva Tov o v RDV
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))...
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
Evaluate the following integrals and note whether they are definite, indefinite or improper. 2