(2 + x², -2

Q: 3. Explain how you could solve the equation In z = 3 using the graph f(x) = ln x

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Q: 2. dx (x+1)√x-3

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Q: f(x) dx = -4, f(x) dx = 6, g(x) dx = 8 - If g(x) dx b. c. 3f(x) dx d. dx x) - g(x)] dx g(x)] dx e.…

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Q: Example 2: Solve (y + x)dy + (x – y)dx = 0 .

A: The given differential equation is y+dy+x-ydx=0. Simplify as follows.…

Q: S (x5 –x³ – 6x) dx is the same as x²+2 A В (x³+3)dx 4x dx x2+2 D +x-- 8x dx x²+2 E F None

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: –2x x- -dx x2+e-2r A (x-e-2r) x²+e-2x xp- B -2 (х—е -2) x²+e-2x xp- e -2r dx x²+e-2r x²+e -2x D E)…

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Q: x2-4x dx 3) S (x+1)(x²+4)

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Q: X- S- V3e2x - 2e-2x dx VZe-2x+ /2e-4x - 3 +C 2/2 2/3e2x - 2e-2x + C V2e-2x +C 1 -Arcsin 2 V3 -Arcsin…

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Q: Find the general solution of dy/dx=x-4/x^2-5x+6

A: Explanation of the answer is as follows

Q: - 2- Solve: (2x +1) a.) dx3 +2y 3e* dx %3D dx2 + 6(2x+ 1)+4y = (2x+1) [t= In(2x+ 1)] %!

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: x3-27 dx 2. ズ-3

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Q: 2x+3 a) S; dx x2-3x+2

A: We integrate the following by using substitution rules and factories the denominator.

Q: 3. General solution of x dy = (2xe* – y + 6x²) dx

A: The given differential equation,     x dy=2xex-y+6x2dx

Q: S2x3-4 x²-x-3 dx х2-2х-3

A: See the details solution in below

Q: 27. 12f(r) – g(x)] dx = 28. Ư(x) – g(3)]dx =, 29. (4g(x) – 3f(x)] dx = 30. f) + 39(x)] dx =

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Q: コ-6 dx 1十XS

A: Given Data: Subdivisions: n=6 Integrand: ∫0311+x5dx Function: fx=11+x5 Lower limit: a=0 Upper limit:…

Q: 3(x5 + x³) ez"+xª + 3(x6 +xª) +2 dx -2

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Q: general solution of y(x²y²+2)dx+x(2-2x²y²)dy=0

A: Given differential equation y(x²y²+2)dx+x(2-2x²y²)dy=0. The objective is to find the general…

Q: : س2 : احسب قيمة التكامل x - 2 dx 4x2 + 4x + 1

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Q: )Solve for k such that 1 k(x2 – 2x + 1)dx = 5 - 0.

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Q: 3x2-9x-34 1. S- dx x2-2x-24

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Q: x* - 5x² + 2 -dx X - 3

A: Explanation: Given that,  ∫x4-5x2+2x-3dx

Q: √ 1 x²√2x-x² dx = x+¹√ √√2x-x² + c 3x²

A:

Q: f3xcos(4-x*)-8xV4=x² dx s(4-x²)-8x/4-x² dx —:

A: Let us solve the integral using substitution method in the next steps.

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

A: We have to find the integral.

Q: ' (x5–x³– 6x) dx is the same as x²+2 A |(13- 3)dx |(+3)dx В 4x dx x²+2 D x³+x- 8x dx x²+2 E .3 x'+x-

A: Solution: ∫x5-x3-6xdxx2+2

Q: -4x+2 Integrate f6 dx with respect to x using the substitution method. (-2x2+2a-2) COMPLETE THIS IN…

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Q: x+2 a) f- =dx V2x-x² |xIn(x+1)dx b)

A: Given that  (a) ∫(x+2)/√(2x-x2) dx   (b) ∫x ln(x+1)dx Here we have to calculate the given integral.

Q: (2x2-x+6)dx (х2—х-2))

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Q: The numerical value of S X -3 9-x² dx will be equal to *******

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Q: 3. The Chain Rule. Solve Dx (2x2 + 2)* V2x CSC X

A: This is a problem of differentiation of the function. Based on below formula we will calculate the…

Q: PO 5.5. -X².11+ y²) xe dx dy

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Q: 2 4 E (x² + 2)V4 – x² dx 3

A: Let's find.

Q: х — х* - 3х - 2 X | dx x* - x'+ 4x – 4x 3

A:

Q: 2 S. x*- 4x +4 dx (メ-2)(x4) |

A: Solution: Consider the given integral is: I = ∫x2-4x+4(x-2)(x2+4)dxI = ∫x-22(x-2)(x2+4)dxI =…

Q: 4x2-5х+6, 3. S(*-*+*)d *“)dx x2

A: We have two types of integrals in general, namely definite and indefinite integrals . The definite…

Q: S (2 + x)dx √4-2x-x²

A: We can solve the integration as below.

Q: - 2r³+ 4x²+ 3 -dx is equivalent to x²(x²+ 1) 2x- + - 1 dx x?+1) 2x –1 dx x²+2, 3 B © /: 2x – 1 x+1…

A: Given problem:-

Q: (2x³+x-1)dx 1. S x3+x²-4x-4

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Q: x² + 2x x4 - 3x² - 4 S dx

A: To find the given integral ∫x2+2xx4-3x2-4dx

Q: 16 / #(x²)dx if f(x)dx = 7. Find Enter the exact answer. xf (x² )dx = -4

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Q: (a) -2f(x) dx 1 6. (b) f(x) +h(x)] dx (c) [2f(x)- 3h(x)] dx 7 (d) f(x) dx 69 (e) f(x) dx (f)…

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Q: 6-6r dx x-3x -2 In|x3 – 3x| + C In|x3 - 3x| + C -1 +C 3(x³ – 3x)

A: The detailed solution is given below Thank you

Q: X-1 dx -x² - 4x- 2

A: Given, ∫x-1-x2-4x-2dx  We have to integrate it

Q: x+3 k) S- dx x2+6x-11

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Q: egral f x²+x+2 dx (x-1)(x²+5)

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Q: e6x (a) : dx 4+ e6x (b) /: dx 4+ e6x 3 (с) dx V4– x2

A: Since you have posted multiple questions i can answer first three as per our company guidelines…

Q: 6. Solve (2x – 1² d´y dx2 + (2x - 1)-2y dy - 2y dx = 8x-2x +3 %3D

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Q: (х2-2х+11)dx (x2+3х-4) .2.

A: