6. dx (x2 + 2x + 2)²

Q: 2 3 -x³ dx 10

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Q: 7. Find. V2x dx - 1

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Q: /25 – x² (-2x) dx 11.

A: 11. According to question,Given integral,∫25-x2-2x dx

Q: 3. What is Se3x dx?

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Q: dx Integrate: S x²-3x+2

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Q: 8,1 CLASSWORK a.) 4x dx 2x +3 1-

A: To evaluate the given definite integral.

Q: Prove : (x2 + 2x + 2 )dx > 0

A: The given integral is ∫-10x2+2x+2-x2dx The integral has been rewritten∫-10x2+2x+12x2dx Apply…

Q: бх-7 7. S dx (2х+1)(4x2+1)

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Q: 2 27|: r-1-(x-1)° dx

A: NOTE: Refresh your page if you can't see any equations. . ..................(1) substitute…

Q: s (2-x)° 3 In (4x) dx х) dx

A: We need to evaluate ∫13(2-x)2ln(4x) dx Now using integration by parts, we get

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

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Q: 6 iven differentinl ....(1x) dx = 2x+y with (2*)

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Q: EX Fin d 1-3X dX -3x) dx

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Q: 6. S: Ja2+1)2 dx x³ex? dx (x²+1)2'

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: •5 b) 3 -dx x – 3

A:

Q: ди + 2и ду %3D dx2

A: Given PDE is

Q: Sla 1 z dx |(25 – x²)3/2]

A:

Q: -3 -dx J2 (x²–1)² 3.

A: The given integral,        ∫23xx2-12dx

Q: 4-x2 dx -2

A: The given integral is

Q: 1. [(4-x) dx. -2

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

Q: 19-x² dx 2

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Q: dx 1- S 4+x2

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Q: What is the solution of 5 |x - 2|dx

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Q: -4x2 + 21x + 10 - dx = J C x3 + 10x2 x + 10

A: To find the value of A,B,C can be found by comparing by the decomposed fraction which gives…

Q: 32x ) dx In|xl + C 3 %3D - |- 3x. 2 In 3

A: let the missing term is Y

Q: 2. S (2x-5)dx x2-5x+3

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Q: 2- Show that: -1 xb-1 In x dx b2

A: See the attachment

Q: S(2-x) In(4x)dx

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Q: 9 Find for y = (9x - 7) dx dx

A: The function is given by y = 9x-7-79 To evaluate : dydx

Q: 1- S dx -4 4

A:

Q: 3 What is the value of -8e -2x+1 dx?

A: Consider the given integral

Q: Evaluate ·S dx 2 ²√x²-9

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Q: 3), x²e2* dx Ans. 20 (5e* – 1) Se4 4

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Q: 5) Evaluate x2n-1e-kx² dx

A: Gamma Function: Γ(n)=∫0∞tn-1 e-t dt And Γ(n)=(n-1)!

Q: 2 の x3 ex lx の 2X dx to

A: 3 Given: ∫12x3ex dx   ……1

Q: 1. ſe-5*dx el/x2 2. x3 5e 4lnx dx ,3.

A: ∫emx dx = emxm + C , where 'C' is the constant of integration.

Q: C. d. 2-x dx x (In 2-1) dx

A: Topic:- indefinite integration

Q: 4 -4 x3 16-x² dx is equal to

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Q: dx 4x+6у+5 dy Зу+2х+4

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Q: dy _ ху+3х— у-3 dx ху - 2х + 4у -8

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

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Q: 3 Evaluate: (4x²yz - z dz dy dx 24

A: The integration of the triple integral is (4x2yz-z4/4), z from 0 to 1, y from -1 to 4, x from 2 to…

Q: S(2-x)° In (4x)dx

A: Given the integral  I = ∫132-x2 ln (4x)dx = ∫13x-22 ln (4x)dx To evaluate the integral:-

Q: dy у+x3 + 3x2 - 2х dx %3

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Q: Vx2-3 dx , x > V3, is equal to:

A:

Q: 3 Evaluate: 2₁ (4x²yz - 2 ) dz dy dx 4

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Q: dy Зx+2у-5 dx 2х+у-3

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Q: Show that d (x3 Inx -국x) 3) = 3x² In x dx

A: Hi! You have posted multiple question. So, we will be solving only the first question as nothing is…

Q: 8. (b)/2 -- xe dx

A: Integration using byparts: where u is the first function and dv is the second chosen using…

Q: 21 (b), dx -1 3e2x

A: