(7Vx2 7V22-9 6. Evaluate the integral: dx x4

Q: Evaluate the integral J dx V4-9х2 3.

A: This question is related to integration.

Q: Evaluate the integral by making the given substitution. Sx x +2 dx, u = x³ +2

A: The given integrand is  x2 (x3+2)1/2

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

A:

Q: Evaluate the double integrals ffe Se-x²-² dxdy, where D = {(x, y) | x² + y² ≤ 4, x ≥ 0, y ≥ 0}.

A:

Q: Evaluate the integral f 2x (x² + 6)° dx using the substitution u = x2 + 6. | 20(x² + 6)* dzx +C

A: In this question, the concept of Integration is applied. Integration Integration is a method of…

Q: Evaluate the integrals below: (-3) a) dx, b) cosy.eny. dx (xV(1 – (In4x³)² -2 -

A: in part b i integrate with respect to y because it is no sense of integrating with respect to x

Q: xdx J Væ +3

A:

Q: Evaluate the integral: r+∞ 1 dv v²+2v-3

A: We will find the integral.

Q: Evaluate the double integral 2.x² – xy)dA, D = {1<r< 2, <o<n} - D

A: we have to find the integral

Q: Evaluate the integral da 2+ et using the substitution u = 2+ eª. dx 2+ et +C | -

A:

Q: Evaluate the integral: ∭D(x2+y2+z2) dxdydz, where D is defined by x2+y2+z2≤2.

A: Given:-                               Evaluate the integral: ∭Dx2+y2+z2dxdydz…

Q: Evaluate the integral f 2x (x? + 1)“ dx using the substitution u = x2 + 1.

A:

Q: Evaluate the iterated integral -6x-x² xy dy dx, (x² + y?)3/2

A: Given: Now let us calculate the given iterated integral by using polar coordinates,…

Q: dr Evaluate the improper integral /, Tæ – 3)3/2 or state that it diverges.

A:

Q: Evaluate the integral. V4– e2¤ dx +C

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Consider the integral 3 4х f (x, y) dy dx 0, Evaluate the integral for f (x, y) = 5x²y

A: Given Data: Integrand: ∫03∫04xfx, ydydx Function: fx, y=5x2y3 Integrate the function. ∫03∫04xfx,…

Q: Evaluate the double integral. y dA, x2 + 1 D = {(x, y) | 0 s x5 8, 0 s ys V} 29727

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Q: A. Evaluate the following integrals by substitution. 1. fx(2x2 + 3)%dx x5 2. S; dx (x6-8)2 3. Sx V1-…

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Q: Evaluate the integral f 2x (x2 + 7)° dx using the substitution u = x2 + 7. 2.x (x² + 7)° dx +C

A:

Q: Use the specified substitution to find or evaluate the integral.

A: Consider the provided integral, ∫01 dx23-xx+1 Evaluate the provided integral. ∫01…

Q: Consider the following integral. x/3 - x dx (a) Integrate by parts, letting dv = V3 - x dx. + C (b)…

A:

Q: Evaluate the integral 35 dz 4 by making the substitution u = x* – 6. +C

A: integration

Q: Evaluate the integral f 2x (x² + 2)° dx using the substitution u = x? + 2. | 20(a* + 2)" de +C

A: The given integral is: I=∫2xx2+26 dx

Q: Evaluate the integral f 2x (x² +1)** dx using the substitution 14 u = x² + 1. | 20 (a² + 1)“ dx +C

A: The given integral is: I=∫2x(x2+1)14dx Substitute u=x2+1 After differentiating,…

Q: Evaluate the integral. a dx 2 a > 0 (a² + x²)3/2' V2 92

A:

Q: Evaluate the integral. r1/v2 2 dx J1/2

A: Use formula of integration

Q: c) Evaluate Ssin 3xcos 4x dx by using integration by part.

A: Given integral is: I=∫sin3xcos4xdx Simplifying it:…

Q: 3z+4 dr Use the appropriate substitution to evaluate the following integrals: e %3D O e3a+4 + C ©…

A:

Q: Evaluate the double integral || (x2 + 4y) dA, where D is bounded by y = x, y = x³, and x 2 0.…

A:

Q: Evaluate the double integral: A B C D m|m NIG 2 2ydydx

A: You must have an idea of double integration to solve this problem. Option D is the right choice. The…

Q: -dr evaluate the integrals by substitution method J 2dx V2+r /2+x

A:

Q: Evaluate the integral r4-x2 8x cos y dy dx r2 y – 4 by reversing the order of integration.

A: Evaluating the g8iven integral directly is not easy. So if we change the order of integration from…

Q: Evaluate the integral. (Use C for the constant of integration.) dx x² + 9 2+9 n(x+ Vx² + 9 ) +C ×

A:

Q: Evaluate the double integral. бу dA, 2x5 + 1 D = {(x, y) | 0 <x< 1, 0 < y s x²}

A:

Q: Evaluate the integral Ja (2 – 4)°dæ (x³ – by making the substitution u = x° – 4.

A: Consider the given integral

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

A:

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: Evaluate the double integral : (y – 12x) da dy 0.

A:

Q: Evaluate the integral. V3 9earctan(y) dy 1 + y2

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Q: V 11y2 – 15 dy y2

A:

Q: Evaluate the integral. V1-y² (x² + y²)dxdy

A:

Q: A. Evaluate the following integrals. 1. Sx 3dx 4x5+5 2. S- dp: x3 3. Sx Vx2 – 4dx

A: Sine you posted question with multiple subparts , as our guideline we supposed to answer only first…

Q: Evaluate the integral x2 ds where C is the portion of x2+y2=4 from (0,2) to (-2,0).

A: ANSWER:

Q: Substitute u = x + 2 into u10 - zu° +c to evaluate the given integral in terms of x. 10 x(x + 2)8 dx…

A:

Q: y=-3 x=- V25 – x – y dxdy=

A: To solve the following double integral

Q: Evaluate the integral. e sec²(8x) dx %3D +C

A:

Q: Evaluate the double integral (x2 + 6y) dA, where D is bounded by y = x, y = x³, and x > 0. Answer:

A: We have to find the value of the integral

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dt…

A: To find: The integral ∫dt1-7t6. Formula used: Power rule of integration: ∫xndx=xn+1n+1+C

Q: dx, Evaluate the improper integral : [° 6x³e-3x°

A: