1. (5 + 5 pts) Evaluate each of the following integrals: (8 tanda; ANSV (b) |...
Evaluate the following integrals... (1 point) Evaluate the following: a. 1 (8 + e-t) $(t – 4) dt = J-1 (6 | (8 + e +) 8(t – 7) dt = . %8+*80) dr = (8 + e +) 8(t) dt = 00
1. Evaluate each of the following indefinite integrals. 6 Idx b. S [2 cost – 5 sin t]dt x*- x -dx c. d. I cotx sec?x dx
1. Evaluate each of the following definite integrals. a. 529,-zdy b. Sonata dx 2. Integrate. a. sec? tane de b. S tanht dt cosht
Problem 2. Evaluate the following integrals: a) (t+1)8(t-1)dt b) ſ exp(-+)$(t + 2)dt c) Itsin() 062 – 1)dt
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 -
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 the following integrals: 8. x(2x + 3)dx b.
5. (4pts each)Evaluate the following integrals. s sins (1) cos (1) dx a. dx b. sz * (ln(x))?
Evaluate the integrals. Please show each step clearly. Thanks! :) 1) Evaluate the following integrals. You must show your work. If an integral does not converge, show why. a. st x2 - 4x – 1 dx x3 + x 10 b. 5 - dx (x - 2)3 c. .00 15x2 + 6 dx (5x3 + 6x)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