2x+1 10x+5 + dx 2. Show that (* +1)(2-x) x +1 2-x (4x² + 4)(2–x)' . Hence, find

Q: (2x + 4) + 1 dx- x² + 4x + 5 x² + 2x– 10 2 (2x + 4) + 1 2 Consider dx = x2 (x² + 4x + 5) dx.…

A:

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: A linear differential operator g D is called    annihilates the functions fx if and only if…

Q: 17x-6 - dx x² -x² - 6x 2.

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Q: dx 3. 4

A: We have to find the value of the integration                            ∫xy2+x2432 dx Since we have…

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A:

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: 3/2 x+3/2 x² - 2 Show that dx = In 3.

A: Since there are multiple questions posted, we will answer the first question posted (4). If you want…

Q: 2 [(3 sec2 x + - x)dx 4

A: Integrate

Q: Evaluate the integral (4x -7/13 – 5x13)dx. „7/13 (4x -7/13 - 5x13)dx help (formulas) -

A: We first distribute the integration

Q: Find a real root of 4*exp(-x/2)-3*ln(x)-3 = 0 using False Position method with a=0.1 and b=2.0…

A: f(x)= 4*exp(-x/2)-3*ln(x)-3

Q: Solve the integral. 6х — 3 1.5 -dx 4x2 – 4x + 1

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Q: Find the indefinite integral and check the result by differentiation. dx 9x2 Part 1 of 7 Observe…

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Q: 13) Find / VI- 2x dx by the method of substitution.

A: Substitute   1-2x = t

Q: 1) Evalvate - 5 dx ZV5 arctan x - 5 5 2 /5 arctan X-5 +C 2 x* - 5 arctan 5 arctan 25

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Q: Evaluate the Cauchy principal value of 2 x 50% -dx 8 x 2 (x² + 1)²

A: We have to find Cauchy Principal Value of the given integral.

Q: •0.6 x² -dx V9 – 25x2 0,

A: …

Q: -2x +5 Evaluate 10-4x -2y dy dx 3x 25 3

A: The given integral is: ∫01∫3x-2x+5(10-4x-2y)dy dx

Q: Evaluate by any applicable method. 1/2 5-x So dx 4x2+1

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: 19-x² dx 2

A:

Q: Evaluate the definite integral. "1/3 3 dx V1- 9x²

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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: X 3- Ssin ² x dx ។

A:

Q: 1-x 362. dx; u = 3x-x 3x-x'

A: As per bartleby guidelines I need to solve only one .So, please repost the 2nd question separately…

Q: 2-5x-x2 dx (x2-x-6)(x+2)

A: This question is based on indefinite integral.

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

A: See the attachment

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A: the given triple integral is: we have to evaluate the given triple integral.

Q: | (2x-1) In(5x) dx A) (x2 - x)In 5x - x2 + 2x + C 2 B) x2 - x)in 5x - +C x2 5x - X2 + x + C 4 D) x2…

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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: Evaluate integral 6x²–2x−1_dx b. S 4x -x

A: To evaluate the following integral. ∫6x2-2x-14x3-x dx

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: See the detailed solution below.

Q: 4. Evaluate -dx. V16 – x2 -

A: Given integral:

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Q: 4 -4 x3 16-x² dx is equal to

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

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Q: x² +x-2 -dx can be resolved into (x2-1)(2x-x²)

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Q: ∫[(1/ (x2√(4 - x2))) dx] Please show all work

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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: 5. fx3* dx

A:

Q: 5 dx is: V4-x2

A: Given:  Let I=∫54-x2 dx To Find: To evaluate the given integral.

Q: 3. (a) Determine 3 4 dx VI - x², + x2 (b) Determine 3 + V1- x2 4 dx 1+ x2

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Q: 19-x 2 Find -dx 2 x² 5.

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Q: 4. Use integration by parts to evaluate (2x - 5) cos(5x - 2)dr.

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Q: 6) csch-1x = In Vx2+1 (+ sinh-11 %3D |x|

A: 6. First  we will find relation between csch-1x and sinh-11x. From Hyperbolic trigonometric…