79. Evaluate the integrals. dt dt b. a. Vi(1 + t) Vi(1 + t)

Q: 4. Rewrite the following integral in the order dy dz dx 1-7 f(x, y, z) dx dy dz

A: In this question we have to rewrite the given integral in order of dy dz dx.

Q: Evaluate the iterated integral. 8 4 b²b²x + (x + y) dy dx

A: Given query is to find the value of the integral.

Q: 11. Evaluate the following integrals: (a) 2+ 2- dt 1/2 (b) ["a 1 dt 2. (c) I12-x| dx

A:

Q: 3. Evaluate the integral: = Im z°dz, C: =1 (-x< Arg I<)

A:

Q: calculate the integral of  integral of 0 to 4 for dt/64t^2+9

A:

Q: 5. Compute the following integrals: (a) In x dx C y? +1

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 1- 22 19ze dx dz dy 5

A:

Q: Evaluate the integral.

A:

Q: 3.2. Prove directly from the definition of Itô integrals that t t | B?dB, = B - | B,ds .

A: The answer is given below

Q: Evaluate the iterated integral. T/4 1 Tv cos(x) dy đx

A:

Q: 2. Evaluate the integral using FTC Part 2. d e²-t st². t dt dx

A:

Q: 3. Compute the following integrals. 2/5 (a) V4 – 25x² dx.

A:

Q: 2. Evaluate the improper integrals of (a) / 1 In r dr de (b) 0+1)/$ (c) re dr

A: Given:

Q: 11 Compute the integral Sre dzdy (Hint: Change the order) 0 y a)3(e – 1) b)(e – 1) c) d) e)3(1 – e)

A: Explanation of the answer is as follows

Q: 1- Find the integral of: 2 cot - de T/2 A- B- / dr Vr

A:

Q: 4 ∞ dy dx J I+ 4? 2. 00

A: To find the integration

Q: Evaluate the improper integral A 0 B (C) 2 9 mit 3 4 √1²23 3³/30 D) diverges dx

A:

Q: Evaluate the integral. et i + 3t2 j + In(5t) k) dt + C

A: We have to evaluate the given integrate…

Q: 6. Compute the following improper integrals: a) tet sin t dt

A:

Q: a) Consider the following. 5x dx (x²+1) i) Find z = (In t)² dt ii) Evaluate the integral

A:

Q: Evaluate the iterated integral. '1 cos(s³) dt ds Jo Jo

A: Given- ∫01∫0s2coss3 dtds To evaluate- The iterated integral.

Q: Evaluate the integral. integral t e -3t dt

A: Let given integral be - y = ∫t e-3tdtUsing by parts to integrate the above integral - ∫uv dx = u∫v…

Q: 6. Compute the following Riemann -Stieltjes integral L rx) d « (x) f(x) = and x (x) = [x] where %3D

A: Solution:

Q: Evaluate the integrals ∫dt/t√t

A: Consider the given integration as I=∫dttt or I=∫t-32dt As we know, ∫xndx=xn+1n+1

Q: 2. Evaluate the improper integrals of (a) In r dr OP -2 (0 + 1)³/5 (c) / re dr 4 dr (4) L r² + 16

A: To find - Evaluate the improper integral of    Formula used - Integration by parts :

Q: 7. Evaluate the following integrals : (») f (; 4 z) dz, (a) z-1 |z|=3

A: Since you have asked multiple questions, we will solve the first question for you. If you want other…

Q: 2. Compute the following integrals: sin(it) dt; t - T 1 -dz; 1 22 (1,1) -

A:

Q: 3. Evaluate the following INDEFINTE integrals. (a) / (b) / va dy y dy (c) dy

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Q.5 Evaluate the integral with the aid of the formulas 5,6, and 7. dt V9-4t2

A: We have to solve integration .

Q: I dydx 1+ y? 1.

A: In the question we have to find integral.

Q: Evaluate the integral of sinº x dx from o to n/2. А. П/32 В. гп/17 С. зп/32 D. 5n/32

A: We know, 2sin2A=1−cos2A  2cos2A=1+cos2A2cosAcosB=cos(A+B)+cos(A−B)

Q: Evaluate the indefinite integral ∫⟨1t,4t3,√t⟩dt, where t&gt;0.

A: We will integrate term by term.

Q: 9. Evaluate the improper integral: | xe* dx jze'de

A:

Q: In Vi - dt 3t (b)

A: ln(a)b= b ln(a)

Q: 2. Evaluate these indefinite integrals: dt (d) S; dt 2t2+5t+3

A: Given that a integration  and we solve it by using general property of integration. Here i attached…

Q: 5. Evaluate the following integrals Đ с Z e CASTTZ ***** ・dz, c: |Z-il=1.5 ans: -ui sinh 1/2 *****

A: Evaluate: ∮Cezcosπzdz where C: |z-i|=1.5

Q: 3 3y Evaluate the iterated integral ry de dy.

A:

Q: Evaluate the improper integral t* e-2t 3+e-4t at

A:

Q: Evaluate the integrals ∫(t + 1)2 - 1/t4 dt

A: To evaluate the integral: ∫t+12-1t4dt Evaluating the given integral.…

Q: 1. Use substitution to evaluate the following integrals: dt arctan(2t) dt (b) t/1– In't (а) 1+ 4t2

A:

Q: Evaluate the iterated integral: I 2² In(y) dy dæ

A: evaluate the integral ∫-22∫12x2 lny dy dx

Q: 2_ Calculate the generalized integral. x In r dx J. (1+12)3

A: The given integral: Calculate the above integral:

Q: Evaluate the integral. r3 3 cosh(t) dt 30.05

A:

Q: Evaluate the integral S (* In ti+ 3t sin (t*) j+ k) dt. x(*+1)

A:

Q: Evaluate the iterated integral. T/4 '3 '3-r rz dz dr de

A:

Q: Evaluate the integral.  integral  t  3sin 2  t dt

A: To evaluate the integral: ∫3sin2tdt. We know that, sin2x=1-cos2x2 Therefore, using this formula,…

Q: ii) Evaluate the integral // Va? + y°dxdy. 1-y2

A: Find your answer below

Q: 4. Evaluate the following improper integrals or show that it diverges. (a) S T dr (c) S In z dr (b)…

A:

Q: 1. Express the integral S S f(x,y, z) dzdxdy as an iterated integral in the other five different…

A: I1=∫02∫0y3∫0y2f(x,y,z) dz dx dy0≤y≤20≤x≤y30≤z≤y2I2=∫08∫0x3∫0y2f(x,y,z) dz dy dxx=y3,y=x30≤y≤x3y=0…

Q: A. Evaluate the following integrals: 1. Sx² e*³dx et3

A: To evaluate the given integral.