6. Identify and argue by which method each of the following integrals can be solved. DONT SOLVE just which method of integrals it should be used to solve

Q: Solve the following integrals: i. - 3 d: x² +9 ii. (x² – 1 {x* + 4}** -1\x² +4)*

A:

Q: Solve the following improper integral

A: To Solve the following improper integral

Q: dx а. 3 x²(9x² – 4) .2 -

A: The integration of the integral is 1/[x2(9x2-4)3/2].

Q: (In 1ºx+ 4lnx) *dx

A: Given: - The integral is, ∫(ln10x+4ln(x))8dxx To find: - The solution of the given integral. include…

Q: tan' 7x dx

A:

Q: x-1/2 d) -dz e) 5e5x 2x1/2 x-5/2 dx x-3/2 e5x f)

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Q: |(3? +2: + 1) dz 2.

A: The given integral is, I=∫z2+2z+143dz On simplifying the term under integral, we get…

Q: Solve the following improper integral : x3 + x? x6 +1 8

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Q: Solve the integral. r5 x° + 3 1. x2(x² + 2x + 1)

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Q: B. Solve the following integrals. 2.) fevdxdy

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Q: 3, 1

A: ∫0∞x3(x2+1)(x+1)2dx put   x3 = u=> dx = 3 x23du => ∫0∞x3(x2+1)(x+1)2dx = ∫0∞3u3(u3 + 1)3(u6 +…

Q: Sæ² 1 + x²dx

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Q: 4. Use properties of integrals to verify the following inequality: 4. /4 sin xdx s 24 24 VI

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Q: S. (3-2xtx²) dx

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Q: The integral : S(6x + 7e")dr =

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Q: Use the properties of integrals to choose the inequality that would make the statement true without…

A: We have to choose the inequality.

Q: raluate the following indefinite integral: 4x³ – 5a² + x – 7) dæ |

A: We have to find

Q: Ji(3x-s) dr? Which of the following integrals is equal to the integral 7/3 O 1 5 2 dz -2 713 dz 3

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Q: s dx 3x²+2x+5

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Q: x' +4x + 3 dx x* + 5.x? + 4

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Q: S(6x-10)dr

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Q: Determine the integral solutions for which x and y are positive. 2x + 5y = 17

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Q: Solve the following Integral Equation by Method of Successive Approximation:

A: Given: y(x)=1+λ∫011-3xty(t)dt This is in the form g(x)=f(x)+λ∫K(x,t)g(t)dt In the method of…

Q: Which of the following integrals is equal to (3x-5) dr if u= 3x-7? 1.

A: The given integral,      ∫123x-5dx

Q: Solve the integral: 1 x +x²dx -

A: We need to calculate the value of ∫-1 2x+x2dx

Q: 3. Solve the following integrals: a) f(5x+2)³¹dx

A:

Q: Find integral of 24 du 2. (4²-1)²

A: We need to find ∫2uu2 - 12du. Now, use u2 - 1 = v. ⇒ dv = 2u du

Q: Use a table of integrals or other techniques to solve the following indefinite integral. xp: x -64

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Q: -dz Izll=2

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Q: 3/1+

A: Let I=∫1+x+33dxPut x+3=udifferentiate dx=duI=∫1+u3duPut u=vdifferentiate…

Q: Why do you do e to the power of the integral in order to solve the question? Why not just integrate…

A: The objective is to determine the reason for doing e to the power of the integral in order to solve…

Q: S (2' - #) dz

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Q: Evaluate the Integral. Solve and show the proper solution.

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Q: 4. § 12×+1dx =. 5. S =dx= -4 %3D . S-3x-1dx vie 6.

A: LetI=∫ 12x+1dxI=∫ 12x.121dxI=∫ 12x· 12dxTake the constant outI=12·∫ 12xdxWe know that…

Q: [p'(8+3p*)®dp

A: Given: I=∫p78+3p48dp  ...1   The Power rule: ∫xndx=xn+1n+1+C

Q: Koin Cex"-8) dx gin(2x

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Q: хӑх 6. S 1+x4

A: solution.

Q: In -dx x²

A: This is a problem of integration. Based on the general formula of integral by parts we will solve…

Q: -2

A:

Q: Evaluate the integral.

A: Our Aim is to evaluate the integral given below:-I=∫xe2x(1+2x)2dx  -(i)

Q: 18.)u*du %3D

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Q: The value of the definite integral is Select one: O 16 3x²dx 0-8 O none of the others 08 0 0

A:

Q: Show all the steps of solutions for the indefinte integrals of the following: x/[(25-x^2)^0.5] and…

A: Let\'s make a substitution: 25 - x2 = z; hence xdx = -dz / 2Please see the white board. c is the…

Q: 10 dR 25

A: Use basic integration  Here R varies from 25 to -10.

Q: -dr3; I (² – 4)(r + 4) a)

A: we have to evaluate the following integral . First we decompose into partial fraction then we can…

Q: Solve the following integrals through video presentation. 12x + 6 1. =dx √x² + x

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Q: Find the the integrals: 3 - 2s ds

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Q: 3) Find each integral by substitution 2x+1

A: Given, ∫12x+1dx  we have to solve given integral by subsititution method

Q: HiWi solve the Rollowing integrals: 312

A: ∫1-x232x6dx