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8. Evaluate the given integrals. Show all work: 8. Evaluate the given integrals. Show all work:...
please simplify Problem 2.3 Evaluate or simplify the following integrals or expression as much as possible (show your work). (a) L, 8(t)x(t – 1)dt (e) , 8(at)dt (i) cos(10zt) [8(t) + 8(t + 5)] sin (b) 8(t – T)x(t)dt (f) 8(2t – 5) sin nt dt (c) L 8(t)x(r – t)dt cos (x - 5)|6(x – 3)dx (sin ke (B) e*-2 8(w) (k) 6(r – t)x(t)dt (d) (h) Jt-11 t+9 8(1 – 3)đr Problem 2.3 Evaluate or simplify the following...
4. Evaluate the following integrals using the Residue Theorem. Justify your calculations, show the work. (10 points each) a) 12 cos a + 13 2 da b) (x2 +6x + 10)2 x sin 2x 24 13 da: c) 4. Evaluate the following integrals using the Residue Theorem. Justify your calculations, show the work. (10 points each) a) 12 cos a + 13 2 da b) (x2 +6x + 10)2 x sin 2x 24 13 da: c)
Evaluate the following integrals. If the integral is divergent, state so. Make sure to clearly show all steps for full credit. (a) | 22 In zde (b) ſ sinº cosº o de (e) [ 74 - gyva dy (4 - y2)3/2 t •dt
show all the steps.. for a and c 1) (25 points) Evaluate the following integrals. Inc dc In x + In(6 - x) al via de dac (x2 + 4x + 7)3 0
2) Evaluate the given integral. Must show all work and simplify as much as possible. 21 Sin e de 5+ 4Cose 0
can someone help me solve #5 and please show work, thank you! 5.5 EXERCISES 1-6 Evaluate the integral by making the given substitution. 1. cos 2x dx, u= 2x 2. | xe dx, u = -x x3 + 1 dx, u= x + 1 sin cos e de, u = sin e - dx, u=x4 - 5
4. Evaluate the following integrals: (a) s 213cosy da siny (b) ſ sec8(tand + sec8 + cos) de
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 -...
Q2- Evaluate the integrals: (a) ſ sinᵒ x.cos x. dx (b) ſ sin 8x. sin 5x.dx
Please show all steps & work, thanks! 1. Use the given graph of y = f(x) to evaluate the following definite integrals, y = f(x) --4 a. -3 --2 L. f(a) de 5. Lflz) di « ["ra) de 1. (536) di 1 -3 -1 2 3 4 -1 -2 -3