4. Use integration by parts to evaluate the following integrals. (a) [(x +3) (x+3) sin(2.c) d.c...
7. Evaluate the following integrals using integration by parts: a xe-ºrd sin (x)dx
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 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 -...
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.
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))...
integration by parts 8. Evaluate the following integrals S cos cos(*)sinº (x)dx b zsin (x)dx
Evaluate the following integrals. Please check the function to be integrated and the order of integration carefully! [6 points each] grals. Please check the function to be integrated and the order of a.) 5° L. (204 – 3) dy do b.) 1/3 2/6 sin(x + y) dx dy Jo Jo ) DA R: 1 < x < 3; 1 <y <4 JR
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....
- 2)3/2 dx. Use integration by parts to evaluate • (15 – )(8 + 2) +C o 3445 – 26 - 4 15 – 2)/2 +C • £415 - wy) - 1.315 - 1)^2 +C 315 – 2)7?(8 – 2) + c
(4) (12 points) Given the following values of f(x), use integration by parts to evaluate Put the numerical value in an answer box. xf"(x) dx. 2 f(0) 1'0 0 1 2 3 4 5 4 5 3 -2 17 -3 3 0 -5 23