x + 2 (2, -4) X – 3’

Q: 3 2 X'+X +2x + 30 - 2 (22-3x+29 2) -dx

A: Let's integrate given integral.

Q: intergral xe^-3x dx

A: We have to integrate the given function, ∫xe-3x dx

Q: 3 Inx S- 2. xV In'x – 4 -dx

A: Consider the given integral ∫ln3xxln2x-4dx Use the substitution method to find the solution of the…

Q: 8 3x -dx 3 3 V 2 – x 2 -

A:

Q: '3 | (x2 - 7) dx 1 4x +

A: Given: ∫13(x2-4x+7)dx To find: Evaluate the integral.

Q: 3x +2 J. - dx. (x² +9)(x– 4)x 10. Find the principal value of

A:

Q: intergral 1/20 1/((x-1/2)2 + 3/4) dx

A: Formula Used: ∫1x2+1dx=tan-1 (u)tan-(0)=0tan-1-13=-π6

Q: 3 + 2/5x-3 dx. Find 4x+1 - Vez

A:

Q: 5 -x° + 2x 3 dx .2 x +4

A: Consider ∫x5-x3+2xx2+4dx = ∫x5+4x3-5x3+2xx2+4dx= ∫x5+4x3-5x3-20x+2x+20xx2+4dx=…

Q: 27. ·√ √(x + 2√1-x²) dx _28. [₂ (2+√9 − x²) dx -3

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Q: 10. 4x+9 x² - 4x+20 2 -dx

A:

Q: intergral x^e^3x^2+1 dx

A: I=∫xe3x2+1dx Then let I1=∫xe3x2dx, I2=∫1.dx Then, I2=x Let fx=xe3x2

Q: (4 dx 2 2X Sxー X-I

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Q: 5x² S -dx 2. ex

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Q: 6x + 7 -dx. (x +2)2

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Q: intergral 4x^3(x^4+12)^17 dx

A: We are going to use integration by substitution method

Q: Llx + 1|dx = %3D 1. 4 2. 0 3. 3 4. 5

A: Break the limits

Q: x + 3 -dx х — 1

A:

Q: | 2sin (x) dx = %3D

A: The answer is given below:

Q: 1 x-3 x2-3x-4 dx

A:

Q: 2) 3. | 24 ly-11 dy

A:

Q: cosh 3x-1 S - dx 2

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Q: 3/2 (-2x + 4) dx J1/2 | 16.

A: Note: We are authorized to answer one question at a time, since you have not mentioned which…

Q: 4 sec*(x) rind tha ualı Find the value of ((x* - 5x² – 6x)“ 4x³ - 10x – 6 dx. (x4–5x²–6x)* - a) 4…

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Q: 2 1. x(-x² + 1) dx 16 dx 4x2 2. 3. dx x3/7 -V4x dx 4. 5. . (-2x! – x295) dx

A: According to the guidelines issued by the company We are supposed to answer only first three…

Q: x4 – 4x3 + 8x² – 13x + 13 dx - - (x – 1)(x2 + 4)

A:

Q: (2х-1)dx х4-2х3+x2

A:

Q: 4. (2 - x)² In(4x) dx

A: Value of question (4) is 27ln(12)-21ln(4)-269 see below the calculation As per bartleby guideline I…

Q: _3. lim (17x – 4) х--18 А. -140 В. 310 С. -310 D. DNE

A:

Q: 1] y = 2x5 +7x² + 4x Degree: Sign of LC: as x-0, y→ as x 00, y-.

A: Solve the following

Q: X 4. f* - 2x² - 6x +1 2 x² - 2x-8 dx

A: We have to find the integral.

Q: i. S S 4xe*+3 dx 2 ii. S, (x + 3)(x + 1)0.5 dx Sdx iii. 3x2+5

A:

Q: x² +3 -dx +8x + 25 1) Integrate |

A: Solution: The objective is to find the value of the given integral

Q: I. Power Formula sec² xdx 1. S (1–4tanx)7 (2x+1)dx (x+2)*(x-1)* 2. S;

A: In this question we have to find the following integral using power formula. We know, Power formula,…

Q: 2. 5x - 2 (x + 3)² S dx.

A:

Q: ()* 3 -2 dx 7. dt 4

A: Solution 7: Given linear system is dxdt=3-24-1x Let A=3-24-1 Let the eigen value be λ So…

Q: 2 dx 3 1 3 -secʻ x+- Jx 5x* + 10.Integerate 2

A:

Q: 2 - Vx 8. (x + 1)2 dx

A: Evaluate: ∫2-xx+12dx

Q: 0 1 S -8 (2x-1)3 -dx

A: ∫-∞0 12x-13dx

Q: | x(x – 2) sech(2x²e¬x) dx ex

A: To find: ∫xx-2sech2x2e-xexdx

Q: x² 1 arctan 16 2(x – 3) + 3 -dx = J (2x² – 6x + 13)² + c 2 x² – 6x + 13

A:

Q: 5. j(4x²-5x+4)*(8x-5)dx 6X dx x ²-5

A:

Q: 1 dx oraz 1 dx. 1+ x² Oblicz 1+ x²

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Q: 3 dx 4. = 2/3 V3-x 0,

A: Solve the problem by substitution. Substitute 3-x=t

Q: 2x + 5 4. -dx x2 + 16

A: Given: Let I=∫2x+5x2+16 dx To Find: To evaluate the given integral.

Q: 5) dx (3x+2y-5) = 0 (2x+3y-5)

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Q: dx 2. x2 – 6x + 13 -4 dx 3. (x – 2)3

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Q: 3 2 - VX dx x² – 4 1 2]

A: ∫12xx2-43dxLet u=x2-4.=∫-3012u3du=12·∫-301u3du=1232u23-30=12--123· 323·32=-3-123· 3234

Q: [(2sin x + 3cos.x) dx

A:

Q: 4. S Vä(x² + 2) dx 5. S(-3 Vã – 6x v7) dx 6. (9x*-6x²+7x²-5x+15 dx 3x

A: