Integration by substitution 1. Find each of the following indefinite integrals using integration by substitution: dz...
Use Integration by Parts for Indefinite Integrals Question Evaluate In(x) dz Remember to include +C in your answer. Use Integration by Parts for Indefinite Integrals Question Evaluate In(x) dz Remember to include +C in your answer.
Evaluate the following integrals (from A to E) A. Integration by parts i) ſ (3+ ++2) sin(2t) dt ii) Z dz un (ricos x?cos 4x dx wja iv) (2 + 5x)eš dr. B. Involving Trigonometric functions 271 п i) | sin? ({x)cos*(xx) dx ii) Sco -> (=w) sins (įw) iii) sec iv) ſ tan” (63)sec^® (6x) dx . sec" (3y)tan?(3y)dy C. Involving Partial fractions 4 z? + 2z + 3 1) $77 dx 10 S2-6922+4) dz x2 + 5x -...
Indefinite integrals. Use table 5.6 or a change of variables to evaluate the following indefinite integrals. check your work by differentiating. 2. 1 dx, x 2 32 xV4x2-I Table 5.6 General Integration Formulas cos ax C a sin ax C 1. cos ax dx = 2. sin ax dr se' 3. 4. ax dx=- ax dx -tan ax C a cot ax C 1 sec ax tan ax dx=-sec ax C 1 --csc ax C csc ax cot ax 5....
3. State whether the given integrals should be solved using Integration by Parts or u-Substitution. but do NOT solve them. /2"(34) de (b) / (+ 3)e+ dr (c) (a) / 1+ ** (42") der (2+1)* (x + 1)(x + 2) dr (e) 4. Evaluate each integral using t-Substitution da (b) / (+" - 13% (26) ds
1. Use integration by parts to evaluate the following indefinite integrals. (a) / x² sin(24) de (b) / -*et de (c) | x arcsec(r) da
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
5. Use a substitution and an integration by parts to find each of the following indef- inite integrals: (b) | (cos(a) sin(a) esas) de (a) / ( (32 – 7) sin(5x + 2)) de (c) / (e* cos(e=)) dt (d) dr 6. Spot the error in the following calculation: S() will use integration by parts with 1 We wish to compute dr. For this dv du 1 dar = 1. This gives us dr by parts we find dr =...
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
integration by parts 8. Evaluate the following integrals S cos cos(*)sinº (x)dx b zsin (x)dx
*PROBLEM 1 Using Two Methods Find the indefinite integral (a) using a table of integrals and (b) using the given method Integral Method 3 Integration by parts In dx *PROBLEM 1 Using Two Methods Find the indefinite integral (a) using a table of integrals and (b) using the given method Integral Method 3 Integration by parts In dx