use substitution if applicable Find the indefinite integrals ty-p² - 4 dy (79 -y? y
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))...
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
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
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
use a table of integrals to find the indefinite integral for botb MY 11. [-17.14 Points] DETAILS LARCALCET7 8.7.040. Use a table of integrals to find the indefinite integral. (Use for the constant of integration.) | Content Need Help? Read it Watch Talk to Tutor 12. [-17.14 Points] DETAILS LARCALCET7 8.7.503.XP. MY NOTES ASK YOUR TI Use a table of integrals with forms involving Valv? to find the integral. (Use C for the constant of integration.) Sla I roman Need...
Certain indefinite integrals such as dx cannot be expressed infinite forms using elementary functions. When such an integral is encountered while solving a differential equation, it is often helpful to use definito integration integrals wih variable upper It Use separation of variables and definite integration to find an explicit solution to the intial value problems in parts a-c and use Simpson's rule Click the icon to vw an example of this process dy a. Solve the initial value probiom with...
Use a table of integrals to find the indefinite integral. 1 S dx 2 XV 100 - x Click the icon to view a brief table of integrals. 1 s dx = xV100 - X?
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 Use substitution to find the indefinite integral s -dx. (2x - 5)6
Use a table of integrals to evaluate the following indefinite integral. The integrals may require preliminary work, such as completing the square or changing variables, before it can be found in a table. dx x2 + 4x + 40 Click here to view page 1 of the Table of Integrals. Click here to view page 2 of the Table of Integrals. Click here to view page 3 of the Table of Integrals. Click here to view page 4 of the...