3. S(z + 3)*dz 4. S(4x + 1)² dx 5. Sy(4+ y?)dy

Q: Evaluate the following integrals: 2r - 2r + 1 dx 1)

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Q: x' +4x 2. J dx – 2.x² – x+ 2

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Q: 1. Evaluate the following integrals a) Smx dx (x²+16)3/2 dx

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Q: 4. Sx 2* dx

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Q: Evaluate the following integrals? .3 1)S x² e3* dx 2) S dx x²+25 dx 3) 6x – x2 4) | cos(In x) dx

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

Q: Q1 - Evaluate the following integrals 2x+5 i. S- dx x²+3x-10

A: We will break it into two parts.

Q: | (7zr³ + 4x? (7z" + 4.a² + 1) d.æ

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Q: 1. Find the following integrals. i) S 3e-2x dx 2x2-1 dx ii) S: 2x3-3х

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Q: evaluate the given integral. L (ex + e-x)/2 dx

A: To evaluate, ∫ex+e-x2 dx

Q: Q1: Evaluate the following integrals by substitution dx 1. e cos e*dx dx 3. J 2x- 3

A: Solve by substitutions

Q: 03: Evaluate the following integrals dx (1) √√₂√x (1+√x)²³ S=

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Q: - Evaluate the following integrals 2e**+11e3x+16e2x -dx e2x+5ex+6

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Q: Evaluate the following Integral by using suitable method: 2y3 +y y4 + y² + 1' ª |7 +e-4y . -) dy

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Q: Evaluate the following integrals: 4x 6. ²x3x²y²dy dx -TT/3 7. p² sin 0 de dp Jπ/6 S3

A: The integration of the integral is  6) 3x2y2 7) (row) 2sin(theta).

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: 12.) / 5a2 – 14x + 6 dx 23 – 3r2

A:

Q: 1. Evaluate the following integrals: а) . dx 17 + x2 b) . dx xV5x2 – 4

A: we have to evaluate the following integrals: a) ∫dx17+x2 b) ∫dxx5x2-4

Q: Rewrite each of the following triple integrals in the indicated order. 12—Зт—6у 4 (a) dz dy dx in…

A: In given integrals, first integral shows the limit of x, second integral shows the limit of y and…

Q: Find the following indefinite integrals. dx Vx + 2 +C !!

A: To evaluate the integral: I=∫xx+2dx...(1)

Q: 9) Calculate the following integrals using the change of Variable (substitution) mothod: 96) 3+2 dx…

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Q: For which of the following integrals would the substitution method be effective? dx x² + 1 æ/1+x² dx…

A: Among the given options, Substitution can be used in both 1 and 2 but in third one the product rule…

Q: Find the complimentary function and particular integral for (D² – 5D+6)y = e2x cos(2x).

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Q: Evaluate the following integrals. Show the solution. 1. S(2x -x5 + 7x-3x2- 11) dx 2. S(9y-2 + 6y…

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Q: 4. Determine the following integrals 1 x – 4m x + 13m2 4.1 dx

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Q3 - Evaluate the following integrals dx x+V4x2+1

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Q: S 2x. e*dx а. 4 3 b. S 20(2x + 1)°dx 1

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Q: I. Solve the following integrals using Algebraic Substitution 1. ſ 2. S -1dx dy y+4-2

A: ∫un du = un+1n+1+C ∫1au+b du =1alnau+b+C ∫1u2+1du = tan-1u+C

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: 5 Find the following indefinite integrals. 10 b. J- S(x+2)' dx a. (3x-7) xp-

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Q: Which of the following integrals is NOT appropriate for a substitution method? Jx'sin(x)dx B S5x…

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Q: Q2: Evaluate of the following integrals: 4. S sin xcos dx 5. Sxe*dx

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Q: Q1 - Evaluate the following integrals i. " xe-*dx

A: We are evaluating the following integral:

Q: Evaluate the following indefinite integrals. 1. S(5x + 4)11 dx 2. Sx (x² + 2)17 dx 3. fx²(9 – x³)5…

A: The solution is given below

Q: Q2 – Evaluate the following integrals. 1 vi. S7 dx (sinhx+coshx)2

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Q: Evaluate the following integrals: a) b) ex² Jy/2 dx dy dy dz dx 2y

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

Q: 1) Calculate the following integrals 1_dx a) S 4x²+25

A: Given; I=∫14x2+25dx    .....(1)   As we know that; ∫1x2+1dx=tan-1x+C

Q: valuate the following integrals: dx (a) x² Vx² – 16 -

A: As per guidelines we have to solve one question

Q: dx (b) . +2) (x +3)

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Q: Evaluate the following integrals: ² (x² + y²) dx dy .2 V4-y V2-x² (x + 2y)dy dx

A: Let's find.

Q: Evaluate the following integrals (a) [2r³ - 2x³ + 3x - 2 dx (b) [ 3x² + √x √I dx (c) √ ¹ t² (√t -…

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Q: Calculate the following integrals: (a) 43* dx. (b) S x5-22, (c) S Is dr. (c) J 1te dx.

A: ∫axdx= axln(a)+c ∫dxx=lnx+c

Q: Evaluate the following integrals. Show your complete solution. 2 dy 1. S Зу-4 2. S dv v+3

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Q: y V3 x dx 8y-y2

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Q: Q2: Evaluate the following integrals? 1) [ cos¹x dx 2x dx 2) S (x-2)² (x+2) 3) S: dx

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Q: 4. Evaluate the following integrals. A) (3x² + 2x) dx 16 B) S°x-5/* dx

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Q: Evaluate the given integrals. 3x?dx 1. S 2х4—1

A: Given that a integration and we solve this problem by using general formula of integration.…

Q: 6. Sxe -3* dx хе

A: We solve the above integral using integral by parts which is given in step 2 .

Q: dx 1. S (2-3x)2 2. S V2x + 1 dx

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Q: Determine the following integrals. ∫ ( y2+1 ) -5/4y dy

A: Our Aim is to evaluate the integral given below:-∫y(y2+1)54dy -(i)

Q: Find the complete integral of the following equation PDE By charpit's pq+2y(x+1)p+x(x+2)q-2(x+1)=0

A: Given : The equation of the PDE is : pq+2y(x+1)p+x(x+2)q-2(x+1)=0…