2. Evaluate the following integrals. et a. (e2 +3)Ve2 – 16e-2" + 6

Q: Evaluate the integral, if it exists.  ∫01 y2 √(y3 + 1) dy

A:

Q: Evaluate the following integral.

A: Complete the square of 3 + 2x –x2:

Q: Evaluate the following integrals 2x2 + 1 dz J (x – 1)²(r + 2)

A:

Q: b) Evaluate the integral by parts. S, x* Inx dx

A: given I= ∫1ex4 ln x dxby using LIATE rule we can rewrite integral as    I= ∫1e ln x   (x4) dx     =…

Q: Q6) Evaluate the following integral using by parts Method: |x³. In x dx %3D

A: To evaluate the given integral using integration by parts method y=∫x3. ln x dx Integration by parts…

Q: In Evaluate the integral: ₁²t² fln s t teu du ds dt

A:

Q: Evaluate the following integrals. Show all the necessary solutions. 2. y In?(1 + 3*) dy 1 + y²

A: I=∫y ln7(1+y2)(1+y2) dyI=∫ y ln(1+y2)7(1+y2) dyln(1+y2)=t1(1+y2) (2y) dy =dty(1+y2) dy=dt2

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: Q:4) Evaluate the following integrals 4x 1) fcos"(4x)dx +e 2) [

A:

Q: 4. Evaluate the following integrals. b. S(2 + cosx)/4x + 2sinx dx

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Q: Find the complete, singular and general integrals of p3 + q3 = 27z. %3D

A: We have to find the complete, singular, and general integrals of:  p3+q3=27z

Q: B- Evaluate the following double integrals: .2 .4 1) | (x+ 3y x²)dy dx

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

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

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Q: 24. Evaluate the integral: ," dy y2+2y-3

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Q: Q:4) Evaluate the following integrals' 1) fcos (4x)dx 2)

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Q: Which of the following integrals is equal to =2+In 2? .2 x – 4 r2 4 d.r x2 dr O Option 1 O Option 4…

A: According to the Bartleby guideline only the first question is suppose to be answered by the expert.…

Q: Evaluate the following integrals by first reversing the order of integration. 8 2 √° ²₂ √² + 1 dr dy…

A: Given Integral, I =∫08∫y1/32x4+1dxdy and the region of integration is, 0≤y≤8 ,y1/3≤x≤2 Graphically…

Q: dx 1. S 1-x2

A: Given:           ∫dx1-x2       =-∫1x2-1dx      =-∫1(x-1)(x+1)dx  Perform partial fraction…

Q: Calculate the following integrals. I (b) /2 I sec rdx-

A: The given integration is  I = ∫xsec2xdx

Q: Calculate the following integrals: (6X-5)dx 3.1 I = S V3x²-5x+6

A:

Q: Evaluate the following sum of iterated double integrals: -2у 2 •4–2y dr dy + | dx dy 0.

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Q: Evaluate the following integrals.∫(y2/(y+1)4)dy

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Q: Evaluate the following improper integrals provided they conver dx a) S Vx-x2

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Q: Evaluate only two of the following integrals: -16 In y a) S 8x² sin(4x) dx dy 4/y b) Jg 4Vý

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Q: „ysin ydy 1/2

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Q: H.W: 1- Evaluate the following integrals St7t?+12 dt - S- ol X (4x2 +1)3 a -

A: a.  ∫t7t2+12dtLet 7t2+12=x⇒14tdt=dx⇒tdt=dx14∴∫t7t2+12dt=114∫xdx=214×3x32+c=1217t2+1232+cwhere c is…

Q: compute the given approximation to the integral.

A:

Q: 11. While using Trapezoidal rule to evaluate the approximate value of an integral, if a=6,b=8,h=02,…

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: Evaluate the following sum of iterated double integrals: r4-2y eAr-r² dx dy 2 2y dx dy +

A:

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: 3. Use the table of integrals to evaluate dx and give the following information: V9x2 -25 a) Which…

A: We have to find solutions

Q: 9. Compute each of the following double integrals over the indicated rectangles. (2r +3y) dA, R=0,1)…

A:

Q: 9. Evaluate the following integrals а. se cx b. CO s x + co s(8z) – iz 3 -4x с. dr x? +1 -

A:

Q: 1-Evaluate the following integrals 1/4 a) d x 4. b) SyV4-y dy

A: Consider the given information: To evaluate the integrals.

Q: Evaluate the integral. | (In(3.x))² dx = +C

A: From the given problem: I=∫ln3x2dx  ....(1) Let, t=3x So, ddxt=ddx3xdtdx=3dx=13dt Nw substitute…

Q: Evaluate the integrals

A: Evaluate∫−π3−π44sec2t+πt2dt

Q: Evaluate the following IMPROPER INTEGRALS, It is optional to double check your answers/solution for…

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

Q: 1 I . a²y dædy;

A:

Q: I. Evaluate the following integrals. 1 d.x J #(9 – In² x)5/2* 1. -

A:

Q: Evaluate the integral given below. Vīn3 e dædy (2VIn3 4/5 O 3vln3 In3 1

A: The given integration is  

Q: 1) Calculate the following integrals. b) √₁6x²=1 -dx

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Q: 1 (a) . Ta – 2)3/2 dr. e1/z dr.

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Q: Evaluate the following integrals: 4x (a) 3xet dx (b) / z In(2)dz (c) / 2°e d.x

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

Q: 3- Evaluate the following integral using the Trapezoidal Rule and h= Ax=Ay=0.2. 12 | 3 +x²y?)dx dy 0…

A: For the solution follow the next steps.

Q: 7) Evaluate the integral Ver+9 dy

A: #7 as per demand Solve integration with help u substitution

Q: Compute the following integrals: et? + + 4 2x ex? + 4x2 + x 1. - dx

A: Solution of this question is

Q: Evaluate the following integrals using power formula. 1) S 3t dt 2) dy

A:

Q: Q3. Evaluate the following Integrals Stan* 0 sece de I. 2-16 хр- Vx II.

A:

Q: 4. Evaluate. H. following.integrals.by.changing.the.arder.of integrahan. o... .4 .a..... 2 4005(x?)…

A: