please simplify Problem 2.3 Evaluate or simplify the following integrals or expression as much as possible...
Please show your work Problem 1.7 Evaluate the following integrals and simplify as much as possible a) [1, 4e-j2t dt b) | te-atdt
Evaluate each of the following integrals, if possible. If it is not possible clearly explain why it is not possible to evaluate the integral. i. 7sin (t)-2cos (t)dt 2 edy ii. y 2t t>1 fdt, where f(t) = {1-31 ts1 12x-10 dx iv
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 -...
2. Determine the following integrals, giving exact values for the definite integrals (and simplify as much as possible!). (4 points each) x-&x a) x se -cos(x) + 2" Jdus b) ſxvx-1dx The Adventure Continues e) [r? n(x) dx
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...
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
Problem: 20 Evaluate the following integrals accurately with a maximal error of 103, using simple Trapezoida formula: e-5x cos(10 x) a) ax b)(1/x)" dx for m (o, 1/2, 1.1) and n (1.2,3) breio2o r y, dx for b (2, 1.1, 1.01, 1.001,. 0 b+sin(20 TT x) d) x2+9 Problem: 20 Evaluate the following integrals accurately with a maximal error of 103, using simple Trapezoida formula: e-5x cos(10 x) a) ax b)(1/x)" dx for m (o, 1/2, 1.1) and n (1.2,3)...
9) (6 pts) Indicate which of the following integrals would evaluate to be zero (There could be many). You should be able to do this by inspection. a) S5172 t sin (3w.t) dt b) =112 sin (3w.t)sin (3w.t) dt c) (172 sin (3w.t)cos (5w.t) dt CT/2 cos (7w.t)cos (5w.t) dt e) Le-jwt etjwt dt f) Lee-jwt e-jwt dt
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
Evaluate each of the following integrals Z 2z Je cos dz i. 4/ (Xcos (4x)dx 2 ii. t'sin 2t dt ii Sy°cos 3ydy iv. 14x3-9х*+7х+3)е*dx- 2 V.