Only (c) integral is zero because this is only odd signal. Hope my ans helps you. Don't downvote. Thanks.
9) (6 pts) Indicate which of the following integrals would evaluate to be zero (There could...
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...
9. (12 pts) Evaluate the following definite and indefinite integrals: (a) 12 dt d dx 1* 2 t Hint: Apply Part 1 of the Fundamental Theorem of Calculus and the Chain Rule. (b) /6 sin 20 de (sin2 @ + 2)2 -
if you could please evaluate each of the following integrals
that would be great! Thank you in advance!
ДА 9 10 11 12 13 14 15 15 a) | 4e** f(e?*)dx ja b) [2]5(-x+1) di c) [°50f(3x² +1)dx + d) 3f (2 cos(4x)+1) .dk csc(4x) (Vx √x - dx f) s f (5 tan(3x)) - dx cos? (3x) +1+ 12
4. Using the properties of the Fourier transform, evaluate the following integrals in terms of a and/or 6, where a is positive. You have to express real-valued evaluations. eat sinc(t)dt -nt - atcos (Bt)dt (10 pts) (a) (10 pts) (b) e 0 0 d [In (x)] dx Hint: teldt -1디미플
4. Using the properties of the Fourier transform, evaluate the following integrals in terms of a and/or 6, where a is positive. You have to express real-valued evaluations. eat sinc(t)dt...
(i) Write down the mathematical definition of the Dirac delta function. (ii) Compute the following integrals | ** cos(e)8(t – 2) dt f sin®(t + 7/3)8'(t) dt e '8(t? – r) dt where x is a real non-zero number.
1. Evaluate each of the following indefinite integrals. 6 Idx b. S [2 cost – 5 sin t]dt x*- x -dx c. d. I cotx sec?x dx
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 -...
1. (6 pts each) Compute the following line integrals. Sketch the path of integration and indicate the direction of positive orientation. (a) (xy2+ z2ds where C is the curve r(t)- (2sint, t,2 cost), O s t s 2TT/3. (b) F dr where F(x,y)(x + y,x -y) and C is the ellipse
1. (6 pts each) Compute the following line integrals. Sketch the path of integration and indicate the direction of positive orientation. (a) (xy2+ z2ds where C is the curve...
2. Evaluate the following indefinite integrals: (a) vel V=(x+2) dx ET (b) 3. Evaluate the following definite integrals: (a) cos(x) da (sin(x) +18 (b) COS 4. The graph of y=g(t) is shown below, and consists of semicircles and line segments. y=g() -1 3 6 596 s(t) dt Define the function f(x) by f(x)= Use the graph of y = g(t) and the properties of the definite integral to find: (a) the value of (i) f(3) (ii) f(-1) (iii) 1'(6) (b)...
x(t) = 3eJ2t 2. Solve the subproblems given z(t) as above. (15 pts) (a) Find To of r(t). (2 pts) Hint: Find the least common multiplier (LCM) of the To of each term in (). (b) Find wo of x(t). (2 pts) (e) Find the Fourier coeficients an, bny and ao- (5 pts) Hint: Do not use the definition formulas; use the visual inspection instead. (d) Validate bi. (6 pts) Hint: cos A sin B = “ [sin(A + B)...