Evaluate the integrals in Exercises 1. dx 3 dx 2. Зх — 2 х 2y dy 8r dr 3. y² – 25 4. 4r2 – 5 sec y tan y 6. 3 sec? t dt 6 + 3 tant 5. -dy 2 + secy dx sec x dx 7. 2Vx + 2x 8. VIn (secx + tan x) - In3 o(x+1) dx e* dx 9. 10. In2 (In x)³ dx 2x In (In x) dx x In x 11. 12. In9 Sum ex/2 dx tan x In (cos x) dx 13. 14. In4 -Vr -dr Vr ‚Vī cdr 15. 16. In x dx 17. /21 e* dt 18. XVIN? x + 1

Q: Evaluate the integrals in Exercises using integration by parts. 2. |0 cos m0 do 4. f* sin xde * cos…

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: 5. Verify Green's Theorem for 0(xy +x )dx+(4x-1) dy where Cis shown below by (a) computing the line…

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Q: Evaluate the integral: ² ls teu du ds dt 0

A: We need to evaluate the following triple integral ∫12∫tt2∫0lnsteudu ds dt

Q: Evaluate the triple iterated integral. xyz³ dx dy dz

A: ∫02∫02∫-14xyz3dxdydz=∫02∫02x2yz32x=-1x=4dydz…

Q: Evaluate the integral dx (3x + 15)²’ by making the appropriate substitution: u = dx + 15)?

A: To evaluate:∫dx3x+152

Q: Evaluate the integrals in Exercises using integration by parts

A: The integration given to us is  ∫tan-1ydy            (1)

Q: 14 Find the integrals using integration by parts. a. Jx(x+ 4) dx b. JVF In Vrdx c. fr'e"dx d. [ (In…

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Q: Evaluate the integrals in Exercises 25–30 by using a substitution prior to integration by parts.…

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Q: Find the general integral and compute 3 diferent solutions for : xzx+(x+z)zy=y-x

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Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) yV 6 +…

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Q: 14 Find the integrals using integration by parts. b. JF In /rdx In a. fx(x + 4)°dx c. fr'e"dx d.…

A: Just multiply by 1and go ahead.

Q: Use reduction formulas to evaluate the integrals in Exercises 41–50. Ssin' 2 de 8 cos“ 2nt dt 42.…

A: Dear student, Since you have asked multiple questions in a single request, we will be answering…

Q: Evaluate the integral dx (6х + 5)? y making the appropriate substitution: u = dx (6x + 5)2 II

A: Given query is to find the integral.

Q: Evaluate the integrals in Exercises: -1/3 6 dx VI + 9x? 5- TT cos x dx Jo vī + sin²x Vi + sin²x 6-…

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Q: calculate the result of the following integrals Sinł dz 19423,2 A) IZI 22 Z +4 dz IZI :4…

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Q: 00 1 (b) Calculate the improper integral dx , or show that it (x² + 25)3/2 -00 diverges . Show your…

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Q: Evaluate the improper integral if it exists 1 dx: .1 2/2 .2 .3 The improper integral diverges .4 2.

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Q: Evaluate double integral 0 to 2, x to 2 2y^2 sinxy dydx

A: We have to integrate the double integral:

Q: In Exercises 45 and 46, both substitution and integration by parts are used to determine the…

A: 45. ∫exdx46. ∫11+xdx

Q: Evaluate the iterated double integral: esec y+1 dy dx. VE sin y sec

A: To evaluate the iterated double integral :               ∫14∫sec-1xπ3  esecy+1sin ydydx

Q: Find the value of the line integral 6xy dx + (3x² + 4y2)dy, where C is an ellipse 16 + = 1 from (4,…

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Q: In Exercises 27–40, use a substitution to change the integral into one you can find in the table.…

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: Set up an iterated triple integral equal to √3-x² | = • S√³/3 SO √√3 x² + y² 3 2-₁/4-x²-y² 2y dz dy…

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Q: Evaluate the integrals in Exercises 1–12. 1. /e'sin e') 'cos (3e' – 2) dt e*sin (e*) dx 2. -1/4 TT…

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Evaluate triple integral , S S dz dy dx. 4-y -2 Jx2 Jo

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Q: Evaluate the integral 8x cos y dy dr y – 4 by reversing the order of integration.

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Q: 2. u(x)= secx+à So u(t)dt.

A: Given integral Fredholm equation, ux=sec2x+λ∫01utdt To find the solution of this equation.

Q: 39. Use a software application to compute the integrals у — х dx dy (x + y)³ у — х dy dx Jo (x + y)³…

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Q: (i) Change the order of integration in the integral Vi-x dx dy (1+ev)NI-x²-y and hence evaluate.

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

Q: Evaluate the iterated integral. rIn(x) xe-Y dy dx dz 4z 434 3

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Q: 3-Evaluate the integrals in Exercises: 2√3 So dx √4 + 4 + x² 0 4- 6 dx 5. Sot v Jo V1 + 9x² cos x dx…

A: We have to evaluate the integrals.

Q: Evaluate the integral; 11 dy dx 1+ 3y3 0 vx

A: Change the order of integration

Q: aluate the integral / (8 x + 18y)dx + (24x – y)dy alor y = x² from (0, 0) to (1, 1). TE: Enter the…

A: Topic:- application of integration

Q: Evaluate the integral dx (2x + 4)* by making the appropriate substitution: u = dx (2x + 4)°

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Q: Evaluate the integral: .0 ²/3 t ln u tan s ds du dt 2e π/3

A: Given: ∫-10∫e2e∫0π3t lnu tansdsdudt

Q: Evaluate the iterated integral. 5 6 7 ||| ? +y² + 2) dx dy dz -5 0 0 5 6 7 | || (1²+y² +²)dx dy dz =…

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Q: In Exercises 19–22, state why it is difficult/impossible to in- tegrate the iterated integral in the…

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Q: Calculate the double integral. Te 1+ xy бх dA, R = [0, 6] × [0, 1] 1 + xy

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Q: Find the integral by Integration By Parts. 2. 0 cos r0 de 3. cos t dt 4. x² sin x dx

A: Integrating By Parts Rule.

Q: Evaluate the Cauchy principal value of the given improper integral. 1 [ (x² + 4)² dx

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Q: Solve the problem. Rewrite the integral 5(1 - z/6) 2(1- y/5 - z/6) dx dy dz in the order dz dy dx.

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Q: Consider the indefinite integral " (5x³ + 4x² – 75x – 68 22 – 16 da Then the integrand decomposes…

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Q: Evaluate the integrals in Exercises 1–6. (sin¬l x)² dx 1. dx 2. x(x + 1)(x + 2)· . · (x + m) 1 /sin'…

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Q: Use a CAS double-integral evaluator to estimate the values of the integrals in Exercises 85–88. •3…

A: Given:

Q: -sin20 B)Evaluate the integrals: i) f/2 sinze rdrde, 0 ii) f/2/2 finx 2² siny dz dy dx. 0 0

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Q: Evaluate the integrals in Exercises 1–8 using integration by parts. In x dx In (x + 1) dx 1. 2. |dx…

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Q: /2 etan y sec y х cos" ydxdy

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Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) YV 6 +…

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Q: Evaluate the following Integrals: 1. (sin(4t) – 3 sin(2t)“ dt 6. Vsech(4x) tan (4x) dx 3 sin sinh 3y…

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Q: Evaluate the integrals in Exercises 9–12. 4 cos (x²) dx dy 2y 9. e dx dy y/2 10. 27 sin 7x² -dx dy…

A: Given: