33–36. Completing the square Evaluate the following integrals. dx 33. Jx² – 2x + 10 34. dx x? + 4x + 8 de 35. 36. dx + 2r? + 1 27 – 60 - 0

Q: (x+ y) dx dy is equal to The value of integral (0 - 4 (ii) 3 (iii) 4

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Q: a) Integrate the following integrals i) S(4e2 + Vx) dx Sx(3+x²)10 dx ii)

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Q: Evaluate the following integral.

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Q: Evaluate the double integral. (2х + у) dA, D = {(x, y) | 1<ys 4, y – 3 <x< 3}

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Q: b) Change the order of integration in the following double integrals: 1. ff(x,y) dxdy. 2. ²-y²…

A: We will change the order of the given integrations

Q: Q3) Evaluate triple integral S(x2 -y?)dz dx dy.

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Q: Q2) - Evaluate the integrals: V16-x 2. 3. SA dx 4. S Vx2 +1 dx dx

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Q: For x 1/2 dx and using the substitution = x 1/2, the resulting integral takes the form: 4u -du 4-u U…

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Q: Evaluate the iterated integral. ITT*³. /0 10 6ze-x6 dy dx dz

A: Integrate usually but first with respect to y then x then z.

Q: a. b. C. Evaluate the following double integrals: (2xy + 3y²)dydx (r)drde (e-²) dydx (Changing the…

A: We need to evaluate the given double integrals. Please see below fora detailed answer.

Q: (a) Evaluate the Integrals:  ∫{2x^2 + 3}/{x(x − 1)^2}dx b) Find a horizontal line y = k that…

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Q: 3 The triple integral L (x + 2y – z)dxdydz is equal to

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Q: "valuate the following integrals using substitution(s) 1. S 2x(x² + 1) 23 dx use u =x + 1 2. [4e5*…

A: The integral formulae are ∫ddxxn=xn+1n+1+c∫ddxeax=eaxa+c

Q: II. Evaluate the following integrals: 1. fe²dx 2. 11 tedx J 1+ 3. fx'e* dx e√x+1 √y +1 4. S dy

A: We have to evaluate the given integrals.

Q: Evaluate the double integral: To L 0 y x7 +1 y¹/3 x7 dx dy.

A: The given integral is: I=∫08∫y132yx7+1dxdy   So, The limit of the x varies from y13 to 2. The limit…

Q: Evaluate the double integral. (2x + y) dA, D = {(x, y) | 1 <ys 2, y – 1 < x< 1}

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Q: II. Evaluate the following integrals 2x 2. S -dx 2 5+2x+x 2

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Q: 2x f²f²² (x² + 2y³) dy dx. Write the iterated integral in the previous item using the order dx dy.

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Q: 2. Evaluate the following integrals: 3x dx b) S; 3-x a) Sdx 2-x 2x d) [ 3x'e*dx c) S 3xe*? dx

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Q: II. Evaluate the following integrals. 1. [(3x + 5)dx 2. S(Vx²)dx 3. S(e* -dx

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Q: x+y Q3) Evaluate triple integral S dz dx dy. x-y

A: To evaluate the triple integral ∫02∫0y∫x-yx+ydz dx dy.

Q: yA y = f(x) -2 2 8 Evaluate the following integrals by interpreting them in terms of areas: a) /…

A: Recall: Slope intercept form of an straight line:         y-y1=y2-y1x2-x1x-x1

Q: Q3:Evaluate the integrals T|(x+y+1)dxdy -1-1

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Q: 14 Find the integrals using integration by parts. xp_ († +x)xf • - dx c. fr'e"de e flnx'de d. f (in…

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

Q: too S. dx b +, X

A: ∫0∞ dxx2+9Formula:∫dxa2+x2=1a tan-1xa +C

Q: 2 x SSy dy dx . Evaluate the integral: 0 0

A: We have to evaluate the double integral.

Q: Evaluate the iterated integral. 4 5 6 (x² + y² + z²) dx dy dz -4 0 0 5 6 (x + y? + 2? )dx dy dz = i…

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Q: Q1 / Evaluate 3 only of the following integrals: 1) S 3x² dx 2) S ( +x) dx 1 3) S(2t + t=1)² dt x+3…

A: For a function g(x) with f(x) as its derivative, i.e; Then ;

Q: L x(1 – 2r*)° dx

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Q: 2x+3 (2x² + 6x − 1) b. f 1)s dx

A: B only Integrals by Substitutions

Q: Q5) Evaluate the following integrals: 1. ƒ (1+√3)³ d -dx √x 2.JxỏeXdx 3.f (x+3) dx 2x³-8x

A: Since you have posted multiple questions. As per guidelines, we"ll solve only first part. If you…

Q: 1. Evaluate the following integrals |(1 - 2)Vī dx 13 (ii) (2 – t4)d' (iii) 24 – 523 + 6x² – 18 da a3…

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Q: Evaluate the iterated integral. 2 3 4 (x² + y² + z² ) dx dy dz -2 0 0

A: ∫-22∫03∫04x2+y2+z2dxdydz

Q: Evaluate the iterated integral. 1 −1 4 (x2 − y2) dy dx −4

A: We have to find the solution of double integral.

Q: r20 Evaluate the integral c5 dx dy by reversing the order of integration. NOTE: Enter the exact…

A: Double integration

Q: 3- Evaluate the integrals: 2. L'w 1. 3) dx 2r + 3) dx | 3. 4. 299 đx (& + 3)4 dx

A: According to Bartleby answering guidlines do first three subparts,.

Q: 2e^xdx-3e^ydy=0   What is y'? What is its integral?

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Q: x? Use the residues to evaluate the improper integral: -dx . (x² + 1)(x² + 4)

A: According to the given information, it is required to evaluate the improper integral using residue…

Q: 1. Evaluate the given integral by change of variable. (y + 1)(1 – 3y)²/3 dy - Your answer

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Q: If h(z)dz = 16 and 7 | h(z)dz = 7.1 what does the following integral equal? |h(2)dz=|

A: ∫-37 h(z) dz =16   and ∫07 h(z) dz =7.1

Q: Evaluate the iterated integral. 3 4 5 | /| (x² + y² + z²) dx dy dz -3 0 0 3 5 (x² + y? +z? ?)dx dy…

A: Application of integration

Q: Evaluate the given integral. 1 a) dx ² +x – 2 3 b) dr 3 – 9x2

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Q: (c) Evaluate the following iterated integrals by changing the coordinate system: 16-x2 Vx² + y² + z²…

A: According to the spherical coordinates , x=rsinθcosϕy=r sinθsinϕz= r cosθJ=r2 sinθx2+y2+z2=r2 To…

Q: Evaluate the following integrals. Show your complete solution. 1. [2dy Зу-4 2. Se dv v+3 v-1 3.…

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Q: 2. Evaluate the following integrals (a) / 20° 2x + 3х — 2 dx (b) /: 3x2 + Vx dx (c) / t (Vi – 3t) dt

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Q: Q3) Evaluate triple integral S" dz dy dx. x-y

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Q: 3. Which antiderivative of y = (1 – x²)-1 should we use to evaluate the integral (1 – x²)-' dx?

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Q: H.W 7.2 Compute the following integrals: e+? + 1 + 4) x 1. 2x dx ex? + 4x² + x

A: We use substitution method

Q: 2. Evaluate the following Integral by using suitable method: 2y3 + y y4 + y2 + 1 dy -

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Q: Evaluate the double integral: L y 1/3 27 +1 dx dy.

A: Given: I=∫08∫y132yx7+1dxdy The region bounded by the curves x=y13, x=2, y=0 &amp; y=8 is as shown…