%3D 4x3 dx 2. х3dy + 3x?y dx 3. х3 dy + (3x?у — хе*) dx %3D 0 -

Q: intergral xe^-3x dx

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

Q: | 2(x - 1)(x5 - 6x + 9)-5 dx

A:

Q: 6. (4x-6y- 1) dx + (3y – 2x – 2) dy = 0.

A:

Q: 11 Integrate 3x/x +5 dx

A: We have to find the value of the definite integral ∫4113xx+5dx. We substitute x+5=u2 to evaluate the…

Q: 12. integrate (10x+6x +2x-6)dx

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Q: integrate 4x-5/(2x-3)^2 dx

A: see 2nd step....

Q: (1) ਤ + x2 x2 + 3 dx (2) In 2 -e ex 1+e dx x +7 (3) --x-6 dx

A:

Q: 2-x 4x + 4x - -m(4x* + 4x – 3) + In| (2x 2x- – 3 x +1 x(x + 3)(x + 2)(x – 1) 1 (x + 3)*(x – 1)ª I…

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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: (* ) +1, dx 2ヌ-

A: The given integral is an indefinite integral.

Q: y' %3Dх (1 — у?) 2 2ху — 10у —х+5g- 0 ху +5у + 2х + 10 2х + 3 -dx + dy = у — 6

A: given differential equations are first order variable separable differential equation. We will first…

Q: 44. (-x + 4x – 5) dx -2

A:

Q: Evaluate 1 foto dx. 6 + e-4x -dx 1 6+e - 4x = + C

A: Given : ∫16+e-4xdx To find: Evaluate the given integral

Q: x² - 2x x3 3x² - - dx -In 1x³ 3x² 1 + C Option 1 Option 3 - -In 1x³ 3x² 1 + C In 1x³ 3x²1+ C Option…

A: SOLUTION-

Q: 2 ди ди + 2y ду ди du az .2 dx dx

A:

Q: 1. S 3x° + 2x3+7x - 4 dx 2. Sx7 – 48z11 3. S 10t-3 + 12t-9 + 4t³ dt 5z16dz -

A:

Q: Integrate: [(2x² – 3)e*dx 1.

A: We are solving the first question and for the next question post the question again and alsomention…

Q: SV4-9x2 dx

A:

Q: Integrate: a+2– +2x²-1 dx

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Q: Integrate [Vx* - x² - 3 -dx

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Q: 2х + 1 бх2 + 23х — 9 dx х3 + 2х2 — 3х Ja- 2)(x – 3)² dx

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Q: 3. fx²(9-x³)5 dx 4. J√4x-1 dx

A:

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: 1. (3x – 2y + 1)dx + (3x – 2y + 3)dy = ( -

A:

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

A:

Q: Integrate dx/(x-5)^2

A: answer = -1x-5explanation is given in below step

Q: 8. f sec² (3x - 1) dx

A:

Q: 3) (3x- 2y+1)dx+(3x– 2y+3)dy = 0

A: We have to find

Q: x² +3 -dx +8x + 25 1) Integrate |

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

Q: eral solution. - 1) dx + (3x – 2y + 3) dy

A:

Q: 7. Integrate 2x-1 dx by using substitution method.

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Q: cV9-x² ¢V9¬x² dz dy dx

A: Explanation of the answer is as follows

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: x-4- dx x²-5x+6

A: Given, ∫x-4x2-5x+6dx   We have to integrate.

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

A: Evaluate: ∫2-xx+12dx

Q: 3 - 2 (6х + у) dx dy о -5 3 - 2 (6х + у) dx dy 3

A:

Q: Find:  ∫5-9x/ (x-1)(3x-2) dx  where x > 1.

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Q: 3 = 4- 2y + - dx

A: The differential equation is,   The figure below represents the vector field of the differential…

Q: dy _ ху+3х— у-3 dx ху - 2х + 4у -8

A:

Q: In 5 dx 1. 5x dx 3. (2r - 3) dx 5. -3

A: Given ∫035 dxwe know that ∫a.dx=a.xSo, ∫035 dx=5.[x]03 =5.[3-0]=5*3=15∴∫035 dx=15

Q: 3. dx Vx (2+3/2)5 3 3 dx = Vx (2+3,/x)5 Vx (2+3x)5 X,

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

A:

Q: (4,0) 9. (1,2) Ja 3y dx + 3x dy

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

Q: integrate (2x + sqrt(x)) dx from 3 to - 6 A. 27 +2√3+4√6 B. 27 + 2√3 C. 27 - 2√3+ 4√6 D. 27-4√6

A:

Q: 1.ſ(8x³ − 6x² + 12x − - -9)dx

A: Solve the integration

Q: 3. dx 6X dx VT-x2 1-x² Et2

A:

Q: 2 Find 11 csc (4x)dx 11 csc (4x)dx

A:

Q: (4 - x2)3/2 dx 3

A: Consider, I=423∫-22(4-x2)3/2dx I =4232∫02(4-x2)3/2 dx   since f(x) is even function that is…

Q: dx 1. dt 4.x1 – 2x1.x2 dx2 -2x2 + 8x1.x2 dt

A: This is a problem of system of differential equation.