Evaluate the integral |(2x + 6) (2² + 6x + 6)°dx by making the substitution u = x² + 6x + 6. + C NOTE: Your answer should be in terms of and not u.

Q: Evaluate the integral fa* (2* – 11)"dz, dx, by making the appropriate substitution: u = 11). 24 dx =…

A: ∫x3x4-1124dxSubstitute u=x4-11du=4x3dxdu4=x3dx

Q: Evaluate the iterated integral. LLL- 2 x³ y2 + z?dxdydz 0.

A:

Q: Evaluate the iterated integral. 8 4 b²b²x + (x + y) dy dx

A: Given query is to find the value of the integral.

Q: dx Evaluate the integral V1 + 9x² 1) Which substitution will change the integral into one of the…

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

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Q: The improper integral 1 dx is 'o 2V1-x²

A: this can solve simply by apply the integration formula

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

A: This question is related to integration.

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: 1 dɔ V9-x² 3

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Q: Let a, b> 0, then the integral x2a +1(1-x²)bdx, after changing variables y = 1– x will be expressed…

A: Given the integral I = ∫01x2a+11-x2 b dx To changing variables y = 1-x2 will be express

Q: Evaluate the integral. V3/2 19x2 dx V1 - x2

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Q: Using an appropriate substitution, 8tan-1x the integral J dx equals: 1+x2

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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 integral dx (6х + 5)? y making the appropriate substitution: u = dx (6x + 5)2 II

A: Given query is 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 f 2x (x? + 1)“ dx using the substitution u = x2 + 1.

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Q: 2 c2 Reverse order and evaluate the integral S, 2y2 sin(xy) dydx

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Q: Evaluate the integral 24 11) dx, by making the appropriate substitution: u = Ja* (2* – 11)*“dz =

A: ∫ un du =un+1n+1+C

Q: Find the integral of r(t) = (3t2 + 4t, 2, e') from 0 to 1.

A: Consider the following vector: rt=3t2+4ti^+2j^+etk^ Integrate the above vector:…

Q: a+bx² dx V3ax+bx3

A:

Q: Find the double integral ∫∫R(2x^2−5y)dA, where R=[−1,2]×[1,3].

A:

Q: Evaluate the integral using the given substitution. 18(6x- 2)6 dx , u = 6x - 2 0.(6x - 2) +C O (6x -…

A: The given integral is ∫186x-2-6dx and  u=6x-2

Q: Evaluate the integral. 9 17 1+ x2 dx V1- x2 +C

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Q: The improper integral 2dx 0. 1-x2 3 T

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Q: The particular integral of (D² – 2D+ 1)y = xe® is 2 -2et - x2 3

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Q: Evaluate the integral f 2x (x² + 3)° dx using the substitution u = x2 + 3.

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Q: Estimate the value of the integral 4- x²y2 dA, S = {(x,y)| x² + y? 0} |

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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: 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 improper integral 1). Sa -2* 2 dx x2-2x

A: Given: ∫3∞2x2-2xdx We have to evaluate the improper integral.

Q: Use the substitution formula to evaluate the integral. fin-√3/22 c2x dx 1 + e4x 28) 0

A:

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

A: Use formula of integration

Q: tan (In |4x²|) dx is bin sec (In |(2x)^)| + C. what is b? The integral of (A 4 1 B c) 2 1 D 2

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

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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

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Q: The improper integral 2dx is 1-x2 0.

A: π

Q: Evaluate the double integral. Sxy² da, D is enclosed by x = 0 and x =

A:

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

A: Consider the given integral

Q: Evaluate the integral. 2 - 121 y - 121 2 -dy, y> 11 dy=

A:

Q: Evaluate the integral Ja (2 – 2) " da, - by making the appropriate substitution: u =

A: The given integral is ∫x2x3-219dx

Q: Evaluate the integral. /9-x2 dy dx dz = /9-x2 (x² + y²)!/2 3 J

A: Straightway, without any further delay, please convert to cylindrical coordinates: x = rcost; y =…

Q: c4 So So (6x² +9y²) dx dy

A:

Q: 2. Use symmetry to evaluate the given integrals. -200 A) S, 2x5 dx -200 В) cos х -п/4 B) S"/ cOS x…

A: A) ∫-2002002x5 dxB) ∫-π4π4 cos x dx

Q: Find the integral. 12x Vx dx 9 24 OA. 7 +C 8 О в. + C 3

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

A: ANSWER:

Q: Evaluate the integral. dx i. 2 x²Vx2–1°

A:

Q: Evaluate the integral AP R = [0, 2] x [2, 4] × [-1, 1]. (y + z)2

A: As per the instruction, we will be solving only the first one.…